refactor: route browser control via gateway/node

src/gateway/server-methods.ts

@@ -1,6 +1,7 @@
 import { ErrorCodes, errorShape } from "./protocol/index.js";
 import { agentHandlers } from "./server-methods/agent.js";
 import { agentsHandlers } from "./server-methods/agents.js";
+import { browserHandlers } from "./server-methods/browser.js";
 import { channelsHandlers } from "./server-methods/channels.js";
 import { chatHandlers } from "./server-methods/chat.js";
 import { configHandlers } from "./server-methods/config.js";
@@ -86,6 +87,7 @@ const WRITE_METHODS = new Set([
   "node.invoke",
   "chat.send",
   "chat.abort",
+  "browser.request",
 ]);
 
 function authorizeGatewayMethod(method: string, client: GatewayRequestOptions["client"]) {
@@ -168,6 +170,7 @@ export const coreGatewayHandlers: GatewayRequestHandlers = {
   ...usageHandlers,
   ...agentHandlers,
   ...agentsHandlers,
+  ...browserHandlers,
 };
 
 export async function handleGatewayRequest(