fix(core): missing lit component props (#13482)

Close [AI-413](https://linear.app/affine-design/issue/AI-413)

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

## Summary by CodeRabbit

* **Bug Fixes**
* Chat messages now scroll vertically, preventing content from being cut
off.
* Chat actions are no longer displayed or fetched, reducing unnecessary
loading.
* Peek view chat composer behavior is aligned with the main chat,
ensuring consistent feature availability across views.

<!-- end of auto-generated comment: release notes by coderabbit.ai -->

packages/frontend/core/src/blocksuite/ai/components/playground/chat.ts

@@ -90,7 +90,7 @@ export class PlaygroundChat extends SignalWatcher(
 
       ai-chat-messages {
         flex: 1;
-        overflow-y: hidden;
+        overflow-y: auto;
       }
 
       .chat-panel-hints {
@@ -211,6 +211,10 @@ export class PlaygroundChat extends SignalWatcher(
     });
   }
 
+  get showActions() {
+    return false;
+  }
+
   private readonly _initPanel = async () => {
     const userId = (await AIProvider.userInfo)?.id;
     if (!userId) return;
@@ -240,7 +244,7 @@ export class PlaygroundChat extends SignalWatcher(
             this.doc.id
           )
         : Promise.resolve([]),
-      this.doc.id
+      this.doc.id && this.showActions
         ? AIProvider.histories.actions(this.doc.workspace.id, this.doc.id)
         : Promise.resolve([]),
     ]);
@@ -369,6 +373,7 @@ export class PlaygroundChat extends SignalWatcher(
         .notificationService=${this.notificationService}
         .aiToolsConfigService=${this.aiToolsConfigService}
         .affineWorkspaceDialogService=${this.affineWorkspaceDialogService}
+        .affineFeatureFlagService=${this.affineFeatureFlagService}
       ></ai-chat-composer>
     </div>`;
   }

packages/frontend/core/src/blocksuite/ai/peek-view/chat-block-peek-view.ts

@@ -614,6 +614,7 @@ export class AIChatBlockPeekView extends LitElement {
         .affineWorkspaceDialogService=${this.affineWorkspaceDialogService}
         .notificationService=${notificationService}
         .aiToolsConfigService=${this.aiToolsConfigService}
+        .affineFeatureFlagService=${this.affineFeatureFlagService}
         .onChatSuccess=${this._onChatSuccess}
         .trackOptions=${{
           where: 'ai-chat-block',