Change category and expose tool properly

Author: beaufortfrancois

src/tools/ToolDefinition.ts

@@ -201,7 +201,6 @@ export type Context = Readonly<{
   getExtensionServiceWorkerId(
     extensionServiceWorker: ExtensionServiceWorker,
   ): string | undefined;
-  getWebMcpTools(page: ContextPage): WebMcpTool[];
 }>;
 
 export type ContextPage = Readonly<{

src/tools/pages.ts

@@ -28,6 +28,7 @@ export const listPages = defineTool(args => {
     handler: async (_request, response) => {
       response.setIncludePages(true);
       response.setListInPageTools();
+      response.setListWebMcpTools();
     },
   };
 });

src/tools/webmcp.ts

@@ -11,7 +11,7 @@ export const listWebMcpTools = definePageTool({
   name: 'list_webmcp_tools',
   description: `Lists all WebMCP tools the page exposes.`,
   annotations: {
-    category: ToolCategory.IN_PAGE,
+    category: ToolCategory.DEBUGGING,
     readOnlyHint: true,
     conditions: ['experimentalWebmcp'],
   },