Update gitlab migration test execution conditions

qa/qa/specs/features/api/1_manage/migration/gitlab_migration_group_spec.rb

 # frozen_string_literal: true
 
 module QA
-  RSpec.describe 'Manage', :requires_admin, quarantine: {
-    only: { subdomain: :staging },
-    type: :investigating,
-    issue: 'https://gitlab.com/gitlab-org/gitlab/-/issues/350965'
-  } do
+  RSpec.describe 'Manage', :requires_admin do
     describe 'Gitlab migration' do
       let(:import_wait_duration) { { max_duration: 300, sleep_interval: 2 } }
       let(:admin_api_client) { Runtime::API::Client.as_admin }

qa/qa/specs/features/api/1_manage/migration/gitlab_migration_issue_spec.rb

@@ -3,11 +3,7 @@
 require_relative 'gitlab_project_migration_common'
 
 module QA
-  RSpec.describe 'Manage', :requires_admin, quarantine: {
-    only: { subdomain: :staging },
-    type: :investigating,
-    issue: 'https://gitlab.com/gitlab-org/gitlab/-/issues/351596'
-  } do
+  RSpec.describe 'Manage' do
     describe 'Gitlab migration' do
       include_context 'with gitlab project migration'
 

qa/qa/specs/features/api/1_manage/migration/gitlab_migration_mr_spec.rb

@@ -3,7 +3,7 @@
 require_relative 'gitlab_project_migration_common'
 
 module QA
-  RSpec.describe 'Manage', :requires_admin do
+  RSpec.describe 'Manage' do
     describe 'Gitlab migration' do
       include_context 'with gitlab project migration'
 

qa/qa/specs/features/api/1_manage/migration/gitlab_migration_project_spec.rb

@@ -3,7 +3,7 @@
 require_relative 'gitlab_project_migration_common'
 
 module QA
-  RSpec.describe 'Manage', :requires_admin do
+  RSpec.describe 'Manage' do
     describe 'Gitlab migration' do
       include_context 'with gitlab project migration'
 

qa/qa/specs/features/api/1_manage/migration/gitlab_project_migration_common.rb

 # frozen_string_literal: true
 
 module QA
-  RSpec.shared_context 'with gitlab project migration', quarantine: {
+  # Disable on staging until bulk_import_projects toggle is on by default
+  # Otherwise tests running in parallel can disable feature in the middle of other test
+  RSpec.shared_context 'with gitlab project migration', :requires_admin, except: { subdomain: :staging }, quarantine: {
     only: { job: 'praefect' },
     type: :investigating,
     issue: 'https://gitlab.com/gitlab-org/gitlab/-/issues/348999'