Mirror Google API key env aliases into managed OpenCode.

OpenCode can mark Google connected via GEMINI_API_KEY while the Generative AI
SDK only reads GOOGLE_GENERATIVE_AI_API_KEY, so chat asked for a key that was
already present. Alias unset sibling names on managed launch for web and VS Code.

Co-authored-by: Serhii Dziupin <makeittech@users.noreply.github.com>

packages/web/server/lib/opencode/lifecycle.js

@@ -1,6 +1,7 @@
 import { spawn, spawnSync } from 'node:child_process';
 import net from 'node:net';
 import { registerManagedProcess, unregisterManagedProcess, reapOrphanedProcesses } from './managed-process-registry.js';
+import { applyProviderEnvAliases } from './provider-env-aliases.js';
 import { recordStartupPerformance } from './startup-performance.js';
 
 const parsePositiveInt = (value, fallback) => {
@@ -518,13 +519,13 @@ export const createOpenCodeLifecycleRuntime = (deps) => {
         timeout: 30000,
         cwd: state.openCodeWorkingDirectory,
         shellEnvKeysCount: Object.keys(shellEnv).length,
-        env: {
+        env: applyProviderEnvAliases({
           ...shellEnv,
           ...process.env,
           ...managedOpenCodeEnv,
           PATH: envPath,
           OPENCODE_SERVER_PASSWORD: openCodePassword,
-        },
+        }),
       });
 
       if (!serverInstance || !serverInstance.url) {