fix(mcp): fix subprocess telemetry leakage and missing agent propagation

src/env.ts

@@ -1,7 +1,7 @@
 import { dirExistsSync } from "./fsutils";
 
 let googleIdxFolderExists: boolean | undefined;
 export function isFirebaseStudio() {
   if (googleIdxFolderExists === true || process.env.MONOSPACE_ENV) return true;
   if (googleIdxFolderExists === false) return false;
   googleIdxFolderExists = dirExistsSync("/google/idx");
@@ -9,21 +9,27 @@
 }
 
 let isFirebaseMcpFlag = false;
 export function isFirebaseMcp() {
-  return isFirebaseMcpFlag;
+  return isFirebaseMcpFlag || process.env.IS_FIREBASE_MCP === "true";
 }
 
 export function setFirebaseMcp(value: boolean) {
   isFirebaseMcpFlag = value;
+  if (value) {
+    process.env.IS_FIREBASE_MCP = "true";
+  } else {
+    delete process.env.IS_FIREBASE_MCP;
+  }
 }
 
 // Detect if the CLI was invoked by a coding agent, based on well-known env vars.
 // Standardized standard (AI_AGENT) is checked first to allow universal override.
 // See: https://github.com/vercel/vercel/tree/main/packages/detect-agent
 export function detectAIAgent(): string {
   // 1. Standardized standard
-  if (process.env.AI_AGENT) {
-    return process.env.AI_AGENT.trim();
+  const aiAgent = process.env.AI_AGENT?.trim();
+  if (aiAgent) {
+    return aiAgent;
   }
 
   // 2. Specific agents (ordered as requested)

src/mcp/index.ts

@@ -136,6 +136,9 @@
       this.clientInfo = clientInfo;
       if (clientInfo?.name) {
         void this.trackGA4("mcp_client_connected");
+        if (!process.env.AI_AGENT?.trim()) {
+          process.env.AI_AGENT = clientInfo.name;
+        }
       }
       if (!this.clientInfo?.name) this.clientInfo = { name: "<unknown-client>" };
 
@@ -158,7 +161,7 @@
   }
 
   /** Wait until initialization has finished. */
   ready() {
     if (this._ready) return Promise.resolve();
     return new Promise((resolve, reject) => {
       this._readyPromises.push({ resolve: resolve as () => void, reject });
@@ -169,12 +172,12 @@
     return this.clientInfo?.name ?? (isFirebaseStudio() ? "Firebase Studio" : "<unknown-client>");
   }
 
   private get clientConfigKey() {
     return `mcp.clientConfigs.${this.clientName}:${this.startupRoot || process.cwd()}`;
   }
 
   getStoredClientConfig(): ClientConfig {
     return configstore.get(this.clientConfigKey) || {};
   }
 
   updateStoredClientConfig(update: Partial<ClientConfig>) {