[FEATURE] Support for CLAUDE_CODE_OATH_TOKEN subscription on Github CLI Integration (No API KEY)

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

All the other LLMS support using its subscription to pay for the GitHub CLI. This is a huge shortcoming because it prevents me from using this tool on GitHub. Now I'm trying to use Codex for Gemini to solve all my problems.

Proposed Solution

Support claude_code_oat_token in Github CLI for subscription Max members.

Alternative Solutions

_No response_

Priority

Critical - Blocking my work

Feature Category

CLI commands and flags

Use Case Example

_No response_

Additional Context

_No response_