[Feature Request] Allow Google Gemini API (generativelanguage.googleapis.com) in Claude Code Mobile

Summary

Google Gemini API calls to generativelanguage.googleapis.com return 403 Forbidden in Claude Code Mobile environment, while other third-party research APIs (Exa, Firecrawl, Parallel) work correctly.

Use Case

Using Claude Code Mobile for research workflows that leverage multiple AI and search APIs:

• Exa - semantic search, code context ✅ Works
• Firecrawl - web scraping, site mapping ✅ Works
• Parallel - deep research synthesis ✅ Works
• Google Gemini - grounded search, URL analysis ❌ 403 Forbidden

Gemini's GoogleSearch tool provides grounded responses with citations, and UrlContext enables direct URL analysis - capabilities that complement other research tools.

Current Behavior

curl -s "https://generativelanguage.googleapis.com/v1beta/models?key=$GOOGLE_API_KEY"
# Returns: 403 Forbidden - "Your client does not have permission to get URL"

Verification: Other Google API domains work fine:

curl -s "https://www.googleapis.com/oauth2/v1/tokeninfo?access_token=invalid"
# Returns: 400 (expected - invalid token) - connection works

Environment

• Claude Code Mobile (web/iOS)
• Pro subscription
• API key verified working from other environments

Request

Consider allowlisting generativelanguage.googleapis.com for outbound requests from Claude Code Mobile, similar to how Exa, Firecrawl, and Parallel API endpoints are accessible.

I understand there may be concerns about model distillation, but this is for legitimate research workflows where Gemini's grounded search complements Claude's capabilities rather than replaces them.

Alternatives Considered

• Using WebSearch/WebFetch as substitute (works but lacks Gemini's specific features)
• Restricting Gemini usage to desktop Claude Code sessions (current workaround)