diff --git a/spec/support/helpers/project_helpers.rb b/spec/support/helpers/project_helpers.rb
index 3cc84d935d2..89f0163b4b6 100644
--- a/spec/support/helpers/project_helpers.rb
+++ b/spec/support/helpers/project_helpers.rb
@@ -10,6 +10,8 @@ module ProjectHelpers
       nil
     when :non_member
       create(:user, name: membership)
+    when :admin
+      create(:user, :admin, name: 'admin')
     else
       create(:user, name: membership).tap { |u| target.add_user(u, membership) }
     end
diff --git a/spec/support/shared_contexts/policies/project_policy_table_shared_context.rb b/spec/support/shared_contexts/policies/project_policy_table_shared_context.rb
index 2ca8c8d739c..0a918ccde81 100644
--- a/spec/support/shared_contexts/policies/project_policy_table_shared_context.rb
+++ b/spec/support/shared_contexts/policies/project_policy_table_shared_context.rb
@@ -18,11 +18,13 @@ RSpec.shared_context 'ProjectPolicyTable context' do
   # rubocop:disable Metrics/AbcSize
   # project_level, :feature_access_level, :membership, :expected_count
   def permission_table_for_reporter_feature_access
+    :public   | :enabled  | :admin      | 1
     :public   | :enabled  | :reporter   | 1
     :public   | :enabled  | :guest      | 1
     :public   | :enabled  | :non_member | 1
     :public   | :enabled  | :anonymous  | 1
 
+    :public   | :private  | :admin      | 1
     :public   | :private  | :reporter   | 1
     :public   | :private  | :guest      | 0
     :public   | :private  | :non_member | 0
@@ -33,11 +35,13 @@ RSpec.shared_context 'ProjectPolicyTable context' do
     :public   | :disabled | :non_member | 0
     :public   | :disabled | :anonymous  | 0
 
+    :internal | :enabled  | :admin      | 1
     :internal | :enabled  | :reporter   | 1
     :internal | :enabled  | :guest      | 1
     :internal | :enabled  | :non_member | 1
     :internal | :enabled  | :anonymous  | 0
 
+    :internal | :private  | :admin      | 1
     :internal | :private  | :reporter   | 1
     :internal | :private  | :guest      | 0
     :internal | :private  | :non_member | 0
@@ -48,6 +52,7 @@ RSpec.shared_context 'ProjectPolicyTable context' do
     :internal | :disabled | :non_member | 0
     :internal | :disabled | :anonymous  | 0
 
+    :private  | :private  | :admin      | 1
     :private  | :private  | :reporter   | 1
     :private  | :private  | :guest      | 0
     :private  | :private  | :non_member | 0
@@ -61,11 +66,13 @@ RSpec.shared_context 'ProjectPolicyTable context' do
 
   # project_level, :feature_access_level, :membership, :expected_count
   def permission_table_for_guest_feature_access
+    :public   | :enabled  | :admin      | 1
     :public   | :enabled  | :reporter   | 1
     :public   | :enabled  | :guest      | 1
     :public   | :enabled  | :non_member | 1
     :public   | :enabled  | :anonymous  | 1
 
+    :public   | :private  | :admin      | 1
     :public   | :private  | :reporter   | 1
     :public   | :private  | :guest      | 1
     :public   | :private  | :non_member | 0
@@ -76,11 +83,13 @@ RSpec.shared_context 'ProjectPolicyTable context' do
     :public   | :disabled | :non_member | 0
     :public   | :disabled | :anonymous  | 0
 
+    :internal | :enabled  | :admin      | 1
     :internal | :enabled  | :reporter   | 1
     :internal | :enabled  | :guest      | 1
     :internal | :enabled  | :non_member | 1
     :internal | :enabled  | :anonymous  | 0
 
+    :internal | :private  | :admin      | 1
     :internal | :private  | :reporter   | 1
     :internal | :private  | :guest      | 1
     :internal | :private  | :non_member | 0
@@ -91,6 +100,7 @@ RSpec.shared_context 'ProjectPolicyTable context' do
     :internal | :disabled | :non_member | 0
     :internal | :disabled | :anonymous  | 0
 
+    :private  | :private  | :admin      | 1
     :private  | :private  | :reporter   | 1
     :private  | :private  | :guest      | 1
     :private  | :private  | :non_member | 0
@@ -113,11 +123,13 @@ RSpec.shared_context 'ProjectPolicyTable context' do
   #
   # project_level, :feature_access_level, :membership, :expected_count
   def permission_table_for_guest_feature_access_and_non_private_project_only
+    :public   | :enabled  | :admin      | 1
     :public   | :enabled  | :reporter   | 1
     :public   | :enabled  | :guest      | 1
     :public   | :enabled  | :non_member | 1
     :public   | :enabled  | :anonymous  | 1
 
+    :public   | :private  | :admin      | 1
     :public   | :private  | :reporter   | 1
     :public   | :private  | :guest      | 1
     :public   | :private  | :non_member | 0
@@ -128,11 +140,13 @@ RSpec.shared_context 'ProjectPolicyTable context' do
     :public   | :disabled | :non_member | 0
     :public   | :disabled | :anonymous  | 0
 
+    :internal | :enabled  | :admin      | 1
     :internal | :enabled  | :reporter   | 1
     :internal | :enabled  | :guest      | 1
     :internal | :enabled  | :non_member | 1
     :internal | :enabled  | :anonymous  | 0
 
+    :internal | :private  | :admin      | 1
     :internal | :private  | :reporter   | 1
     :internal | :private  | :guest      | 1
     :internal | :private  | :non_member | 0
@@ -143,6 +157,7 @@ RSpec.shared_context 'ProjectPolicyTable context' do
     :internal | :disabled | :non_member | 0
     :internal | :disabled | :anonymous  | 0
 
+    :private  | :private  | :admin      | 1
     :private  | :private  | :reporter   | 1
     :private  | :private  | :guest      | 0
     :private  | :private  | :non_member | 0
@@ -156,41 +171,49 @@ RSpec.shared_context 'ProjectPolicyTable context' do
 
   # :project_level, :issues_access_level, :merge_requests_access_level, :membership, :expected_count
   def permission_table_for_milestone_access
+    :public   | :enabled  | :enabled  | :admin      | 1
     :public   | :enabled  | :enabled  | :reporter   | 1
     :public   | :enabled  | :enabled  | :guest      | 1
     :public   | :enabled  | :enabled  | :non_member | 1
     :public   | :enabled  | :enabled  | :anonymous  | 1
 
+    :public   | :enabled  | :private  | :admin      | 1
     :public   | :enabled  | :private  | :reporter   | 1
     :public   | :enabled  | :private  | :guest      | 1
     :public   | :enabled  | :private  | :non_member | 1
     :public   | :enabled  | :private  | :anonymous  | 1
 
+    :public   | :enabled  | :disabled | :admin      | 1
     :public   | :enabled  | :disabled | :reporter   | 1
     :public   | :enabled  | :disabled | :guest      | 1
     :public   | :enabled  | :disabled | :non_member | 1
     :public   | :enabled  | :disabled | :anonymous  | 1
 
+    :public   | :private  | :enabled  | :admin      | 1
     :public   | :private  | :enabled  | :reporter   | 1
     :public   | :private  | :enabled  | :guest      | 1
     :public   | :private  | :enabled  | :non_member | 1
     :public   | :private  | :enabled  | :anonymous  | 1
 
+    :public   | :private  | :private  | :admin      | 1
     :public   | :private  | :private  | :reporter   | 1
     :public   | :private  | :private  | :guest      | 1
     :public   | :private  | :private  | :non_member | 0
     :public   | :private  | :private  | :anonymous  | 0
 
+    :public   | :private  | :disabled | :admin      | 1
     :public   | :private  | :disabled | :reporter   | 1
     :public   | :private  | :disabled | :guest      | 1
     :public   | :private  | :disabled | :non_member | 0
     :public   | :private  | :disabled | :anonymous  | 0
 
+    :public   | :disabled | :enabled  | :admin      | 1
     :public   | :disabled | :enabled  | :reporter   | 1
     :public   | :disabled | :enabled  | :guest      | 1
     :public   | :disabled | :enabled  | :non_member | 1
     :public   | :disabled | :enabled  | :anonymous  | 1
 
+    :public   | :disabled | :private  | :admin      | 1
     :public   | :disabled | :private  | :reporter   | 1
     :public   | :disabled | :private  | :guest      | 0
     :public   | :disabled | :private  | :non_member | 0
@@ -201,41 +224,49 @@ RSpec.shared_context 'ProjectPolicyTable context' do
     :public   | :disabled | :disabled | :non_member | 0
     :public   | :disabled | :disabled | :anonymous  | 0
 
+    :internal | :enabled  | :enabled  | :admin      | 1
     :internal | :enabled  | :enabled  | :reporter   | 1
     :internal | :enabled  | :enabled  | :guest      | 1
     :internal | :enabled  | :enabled  | :non_member | 1
     :internal | :enabled  | :enabled  | :anonymous  | 0
 
+    :internal | :enabled  | :private  | :admin      | 1
     :internal | :enabled  | :private  | :reporter   | 1
     :internal | :enabled  | :private  | :guest      | 1
     :internal | :enabled  | :private  | :non_member | 1
     :internal | :enabled  | :private  | :anonymous  | 0
 
+    :internal | :enabled  | :disabled | :admin      | 1
     :internal | :enabled  | :disabled | :reporter   | 1
     :internal | :enabled  | :disabled | :guest      | 1
     :internal | :enabled  | :disabled | :non_member | 1
     :internal | :enabled  | :disabled | :anonymous  | 0
 
+    :internal | :private  | :enabled  | :admin      | 1
     :internal | :private  | :enabled  | :reporter   | 1
     :internal | :private  | :enabled  | :guest      | 1
     :internal | :private  | :enabled  | :non_member | 1
     :internal | :private  | :enabled  | :anonymous  | 0
 
+    :internal | :private  | :private  | :admin      | 1
     :internal | :private  | :private  | :reporter   | 1
     :internal | :private  | :private  | :guest      | 1
     :internal | :private  | :private  | :non_member | 0
     :internal | :private  | :private  | :anonymous  | 0
 
+    :internal | :private  | :disabled | :admin      | 1
     :internal | :private  | :disabled | :reporter   | 1
     :internal | :private  | :disabled | :guest      | 1
     :internal | :private  | :disabled | :non_member | 0
     :internal | :private  | :disabled | :anonymous  | 0
 
+    :internal | :disabled | :enabled  | :admin      | 1
     :internal | :disabled | :enabled  | :reporter   | 1
     :internal | :disabled | :enabled  | :guest      | 1
     :internal | :disabled | :enabled  | :non_member | 1
     :internal | :disabled | :enabled  | :anonymous  | 0
 
+    :internal | :disabled | :private  | :admin      | 1
     :internal | :disabled | :private  | :reporter   | 1
     :internal | :disabled | :private  | :guest      | 0
     :internal | :disabled | :private  | :non_member | 0
@@ -246,16 +277,19 @@ RSpec.shared_context 'ProjectPolicyTable context' do
     :internal | :disabled | :disabled | :non_member | 0
     :internal | :disabled | :disabled | :anonymous  | 0
 
+    :private  | :private  | :private  | :admin      | 1
     :private  | :private  | :private  | :reporter   | 1
     :private  | :private  | :private  | :guest      | 1
     :private  | :private  | :private  | :non_member | 0
     :private  | :private  | :private  | :anonymous  | 0
 
+    :private  | :private  | :disabled | :admin      | 1
     :private  | :private  | :disabled | :reporter   | 1
     :private  | :private  | :disabled | :guest      | 1
     :private  | :private  | :disabled | :non_member | 0
     :private  | :private  | :disabled | :anonymous  | 0
 
+    :private  | :disabled | :private  | :admin      | 1
     :private  | :disabled | :private  | :reporter   | 1
     :private  | :disabled | :private  | :guest      | 0
     :private  | :disabled | :private  | :non_member | 0