Rename can_push_or_merge_to_branch? to can_update_branch?

Also make sure pipeline would also check against tag as well

app/policies/ci/build_policy.rb

@@ -6,7 +6,7 @@ module Ci
       if @subject.tag?
         !access.can_create_tag?(@subject.ref)
       else
-        !access.can_push_or_merge_to_branch?(@subject.ref)
+        !access.can_update_branch?(@subject.ref)
       end
     end
 

app/policies/ci/pipeline_policy.rb

@@ -3,9 +3,13 @@ module Ci
     delegate { @subject.project }
 
     condition(:user_cannot_update) do
-      !::Gitlab::UserAccess
-        .new(@user, project: @subject.project)
-        .can_push_or_merge_to_branch?(@subject.ref)
+      access = ::Gitlab::UserAccess.new(@user, project: @subject.project)
+
+      if @subject.tag?
+        !access.can_create_tag?(@subject.ref)
+      else
+        !access.can_update_branch?(@subject.ref)
+      end
     end
 
     rule { user_cannot_update }.prevent :update_pipeline

app/services/ci/create_pipeline_service.rb

@@ -89,7 +89,7 @@ module Ci
 
       Ability.allowed?(triggering_user, :create_pipeline, project) &&
         if branch?
-          access.can_push_or_merge_to_branch?(ref)
+          access.can_update_branch?(ref)
         elsif tag?
           access.can_create_tag?(ref)
         else

lib/gitlab/user_access.rb

@@ -54,7 +54,7 @@ module Gitlab
       end
     end
 
-    def can_push_or_merge_to_branch?(ref)
+    def can_update_branch?(ref)
       can_push_to_branch?(ref) || can_merge_to_branch?(ref)
     end