fix(core): missing hide edgeless copilot panel logic (#13445)

Close [AI-409](https://linear.app/affine-design/issue/AI-409)

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

## Summary by CodeRabbit

* **Bug Fixes**
* Improved the behavior when continuing in AI Chat by ensuring the
copilot panel is properly hidden before switching panels for a smoother
user experience.

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

packages/frontend/core/src/blocksuite/ai/_common/config.ts

@@ -38,6 +38,7 @@ import type {
 } from '../components/ai-item/types';
 import { AIProvider } from '../provider';
 import { getAIPanelWidget } from '../utils/ai-widgets';
+import { getEdgelessCopilotWidget } from '../utils/get-edgeless-copilot-widget';
 import {
   AIImageIconWithAnimation,
   AIPenIconWithAnimation,
@@ -384,10 +385,12 @@ const OthersAIGroup: AIItemGroupConfig = {
       icon: CommentIcon(),
       handler: host => {
         const panel = getAIPanelWidget(host);
+        const edgelessCopilot = getEdgelessCopilotWidget(host);
         AIProvider.slots.requestOpenWithChat.next({
           host,
           autoSelect: true,
         });
+        edgelessCopilot.hideCopilotPanel();
         panel.hide();
       },
     },

packages/frontend/core/src/blocksuite/ai/entries/edgeless/actions-config.ts

@@ -51,7 +51,10 @@ import {
 import type { AIItemGroupConfig } from '../../components/ai-item/types';
 import { AIProvider } from '../../provider';
 import { getAIPanelWidget } from '../../utils/ai-widgets';
-import { mindMapToMarkdown } from '../../utils/edgeless';
+import {
+  getEdgelessCopilotWidget,
+  mindMapToMarkdown,
+} from '../../utils/edgeless';
 import { extractSelectedContent } from '../../utils/extract';
 import { canvasToBlob, randomSeed } from '../../utils/image';
 import {
@@ -115,6 +118,7 @@ const othersGroup: AIItemGroupConfig = {
       showWhen: () => true,
       handler: host => {
         const panel = getAIPanelWidget(host);
+        const edgelessCopilot = getEdgelessCopilotWidget(host);
         extractSelectedContent(host)
           .then(context => {
             AIProvider.slots.requestOpenWithChat.next({
@@ -125,6 +129,7 @@ const othersGroup: AIItemGroupConfig = {
             });
           })
           .catch(console.error);
+        edgelessCopilot.hideCopilotPanel();
         panel.hide();
       },
     },