fix(workbench): proxy workspace writes through cloud web

internal/dev-entrypoint/cloud-web-routes.mjs

@@ -42,7 +42,12 @@ export function isCloudApiProxyRoute(method, pathname) {
       GET_PROXY_PREFIXES.some((prefix) => normalizedPath.startsWith(prefix));
   }
   if (normalizedMethod === "POST") {
-    return POST_PROXY_ROUTES.has(normalizedPath) || isDevicePodPostProxyRoute(normalizedPath);
+    return POST_PROXY_ROUTES.has(normalizedPath) ||
+      isDevicePodPostProxyRoute(normalizedPath) ||
+      isWorkbenchWorkspaceWriteProxyRoute(normalizedMethod, normalizedPath);
+  }
+  if (normalizedMethod === "PATCH" || normalizedMethod === "PUT") {
+    return isWorkbenchWorkspaceWriteProxyRoute(normalizedMethod, normalizedPath);
   }
   return false;
 }
@@ -56,6 +61,14 @@ function isDevicePodPostProxyRoute(pathname) {
   return false;
 }
 
+function isWorkbenchWorkspaceWriteProxyRoute(method, pathname) {
+  const parts = pathname.split("/").filter(Boolean);
+  if (parts.length < 4 || parts[0] !== "v1" || parts[1] !== "workbench" || parts[2] !== "workspace") return false;
+  if ((method === "PATCH" || method === "PUT") && parts.length === 4) return true;
+  if (method === "POST" && parts.length === 5) return parts[4] === "select-conversation" || parts[4] === "reset";
+  return false;
+}
+
 function isPublicCodeAgentPollRoute(method, pathname) {
   return method === "GET" && (
     pathname.startsWith("/v1/agent/chat/result/") ||

internal/dev-entrypoint/cloud-web-routes.test.mjs

@@ -56,3 +56,36 @@ test("cloud web proxies only supported authenticated device-pod write routes", (
     routeKey: "POST /v1/device-pods/D601-F103-V2/jobs/job_1/output"
   });
 });
+
+test("cloud web proxies authenticated account workbench write routes", () => {
+  assert.deepEqual(cloudWebProxyRoutePolicy("PATCH", "/v1/workbench/workspace/ws_default"), {
+    proxy: true,
+    authRequired: true,
+    publicRoute: false,
+    routeKey: "PATCH /v1/workbench/workspace/ws_default"
+  });
+  assert.deepEqual(cloudWebProxyRoutePolicy("PUT", "/v1/workbench/workspace/ws_default"), {
+    proxy: true,
+    authRequired: true,
+    publicRoute: false,
+    routeKey: "PUT /v1/workbench/workspace/ws_default"
+  });
+  assert.deepEqual(cloudWebProxyRoutePolicy("POST", "/v1/workbench/workspace/ws_default/select-conversation"), {
+    proxy: true,
+    authRequired: true,
+    publicRoute: false,
+    routeKey: "POST /v1/workbench/workspace/ws_default/select-conversation"
+  });
+  assert.deepEqual(cloudWebProxyRoutePolicy("POST", "/v1/workbench/workspace/ws_default/reset"), {
+    proxy: true,
+    authRequired: true,
+    publicRoute: false,
+    routeKey: "POST /v1/workbench/workspace/ws_default/reset"
+  });
+  assert.deepEqual(cloudWebProxyRoutePolicy("POST", "/v1/workbench/workspace/ws_default/events"), {
+    proxy: false,
+    authRequired: false,
+    publicRoute: false,
+    routeKey: "POST /v1/workbench/workspace/ws_default/events"
+  });
+});