Try waiting for previous dropdown to definitly close before going to click

app/views/projects/protected_tags/_create_protected_tag.html.haml

@@ -9,7 +9,7 @@
         .form-group
           = f.label :name, class: 'col-md-2 text-right' do
             Tag:
-          .col-md-10
+          .col-md-10.protected-tags-dropdown
             = render partial: "projects/protected_tags/dropdown", locals: { f: f }
             .help-block
               = link_to 'Wildcards', help_page_path('user/project/protected_tags', anchor: 'wildcard-protected-tags')

spec/features/protected_tags/access_control_ce_spec.rb

@@ -10,7 +10,7 @@ RSpec.shared_examples "protected tags > access control > CE" do
 
         unless allowed_to_create_button.text == access_type_name
           allowed_to_create_button.click
-          within(".dropdown.open .dropdown-menu") { click_on access_type_name }
+          within('.create_access_levels-container .dropdown-menu') { click_on access_type_name }
         end
       end
 

spec/features/protected_tags_spec.rb

@@ -11,6 +11,7 @@ feature 'Projected Tags', feature: true, js: true do
     find(".js-protected-tag-select").click
     find(".dropdown-input-field").set(tag_name)
     click_on("Create wildcard #{tag_name}")
+    find('.protected-tags-dropdown .dropdown-menu', visible: false)
   end
 
   describe "explicit protected tags" do