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/modules/peek-view/view/ai-chat-block-peek-view/index.tsx

@@ -2,6 +2,7 @@ import { toReactNode } from '@affine/component';
 import { AIChatBlockPeekViewTemplate } from '@affine/core/blocksuite/ai';
 import type { AIChatBlockModel } from '@affine/core/blocksuite/ai/blocks/ai-chat-block/model/ai-chat-model';
 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 type { EditorHost } from '@blocksuite/affine/std';
 import { useFramework } from '@toeverything/infra';
@@ -25,6 +26,7 @@ export const AIChatBlockPeekView = ({
 
   const framework = useFramework();
   const affineFeatureFlagService = framework.get(FeatureFlagService);
+  const affineWorkspaceDialogService = framework.get(WorkspaceDialogService);
 
   return useMemo(() => {
     const template = AIChatBlockPeekViewTemplate(
@@ -34,7 +36,8 @@ export const AIChatBlockPeekView = ({
       searchMenuConfig,
       networkSearchConfig,
       reasoningConfig,
-      affineFeatureFlagService
+      affineFeatureFlagService,
+      affineWorkspaceDialogService
     );
     return toReactNode(template);
   }, [
@@ -45,5 +48,6 @@ export const AIChatBlockPeekView = ({
     networkSearchConfig,
     reasoningConfig,
     affineFeatureFlagService,
+    affineWorkspaceDialogService,
   ]);
 };