fix(core): chat input will be sent repeatedly in two documents with split view (#9289)

Fix issue [AF-2011](https://linear.app/affine-design/issue/AF-2011).

Add `host` strict equality check before ai request send.

packages/frontend/core/src/blocksuite/presets/ai/_common/components/ask-ai-toolbar.ts

@@ -74,7 +74,11 @@ export class AskAIToolbarButton extends WithDisposable(LitElement) {
       AIProvider.slots.requestOpenWithChat.emit({ host: this.host });
       extractContext(this.host)
         .then(context => {
-          AIProvider.slots.requestSendWithChat.emit({ input, context });
+          AIProvider.slots.requestSendWithChat.emit({
+            input,
+            context,
+            host: this.host,
+          });
         })
         .catch(console.error);
     };

packages/frontend/core/src/blocksuite/presets/ai/chat-panel/chat-panel-input.ts

@@ -300,11 +300,15 @@ export class ChatPanelInput extends WithDisposable(LitElement) {
     super.connectedCallback();
 
     this._disposables.add(
-      AIProvider.slots.requestSendWithChat.on(async ({ input, context }) => {
-        context && this.updateContext(context);
-        await this.updateComplete;
-        await this.send(input);
-      })
+      AIProvider.slots.requestSendWithChat.on(
+        async ({ input, context, host }) => {
+          if (this.host === host) {
+            context && this.updateContext(context);
+            await this.updateComplete;
+            await this.send(input);
+          }
+        }
+      )
     );
   }
 

packages/frontend/core/src/blocksuite/presets/ai/entries/edgeless/index.ts

@@ -51,7 +51,11 @@ export function setupEdgelessElementToolbarAIEntry(
             AIProvider.slots.requestOpenWithChat.emit({ host: edgeless.host });
             extractContext(edgeless.host)
               .then(context => {
-                AIProvider.slots.requestSendWithChat.emit({ input, context });
+                AIProvider.slots.requestSendWithChat.emit({
+                  input,
+                  context,
+                  host: edgeless.host,
+                });
               })
               .catch(console.error);
           };

packages/frontend/core/src/blocksuite/presets/ai/provider.ts

@@ -24,6 +24,7 @@ export interface AIChatParams {
 }
 
 export interface AISendParams {
+  host: EditorHost;
   input?: string;
   context?: Partial<ChatContextValue | null>;
 }