Add custom headers to direct connections (#2922)

* Add custom headers to direct connections

* Address custom header review feedback

* Fix direct connection header integration

* Fix desktop relay E2E transport setup

---------

Co-authored-by: Claude <claude@Claudes-Mac-mini.local>
Co-authored-by: Mohamed Boudra <boudra.moha@gmail.com>

packages/client/src/daemon-client.ts

@@ -301,6 +301,7 @@ export interface DaemonClientConfig {
   runtimeGeneration?: number | null;
   password?: string;
   authHeader?: string;
+  headers?: Record<string, string>;
   suppressSendErrors?: boolean;
   transportFactory?: DaemonTransportFactory;
   webSocketFactory?: WebSocketFactory;
@@ -1249,7 +1250,7 @@ export class DaemonClient {
       return;
     }
 
-    const headers: Record<string, string> = {};
+    const headers: Record<string, string> = { ...this.config.headers };
     const password = normalizePassword(this.config.password);
     if (password) {
       headers.Authorization = `Bearer ${password}`;