refactor(core): open embedding settings when click check-status button (#12772)

> CLOSE BS-3582

<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->
## Summary by CodeRabbit

- **New Features**
- Added a "Check status" button in the AI chat interface that opens the
embedding settings panel for improved user access.

- **Refactor**
- Simplified the embedding status tooltip to display static information
and a direct link to settings, removing dynamic progress updates.
- Integrated workspace dialog service across AI chat components for
consistent dialog management.

- **Tests**
- Updated end-to-end tests to verify that clicking the "Check status"
button opens the embedding settings panel.
<!-- end of auto-generated comment: release notes by coderabbit.ai -->

packages/frontend/core/src/desktop/pages/workspace/detail-page/tabs/chat.tsx

@@ -1,6 +1,7 @@
 import { ChatPanel } from '@affine/core/blocksuite/ai';
 import type { AffineEditorContainer } from '@affine/core/blocksuite/block-suite-editor';
 import { useAIChatConfig } from '@affine/core/components/hooks/affine/use-ai-chat-config';
+import { WorkspaceDialogService } from '@affine/core/modules/dialogs';
 import { FeatureFlagService } from '@affine/core/modules/feature-flag';
 import { WorkbenchService } from '@affine/core/modules/workbench';
 import { ViewExtensionManagerIdentifier } from '@blocksuite/affine/ext-loader';
@@ -80,6 +81,9 @@ export const EditorChatPanel = forwardRef(function EditorChatPanel(
         .get('preview-page');
       chatPanelRef.current.affineFeatureFlagService =
         framework.get(FeatureFlagService);
+      chatPanelRef.current.affineWorkspaceDialogService = framework.get(
+        WorkspaceDialogService
+      );
 
       containerRef.current?.append(chatPanelRef.current);
     } else {