No projects v2 access using GitHub remote MCP server in ChatGPT

When connecting the official remote GitHub MCP server via OAuth from ChatGPT, repo operations generally work, but accessing organization Projects (Projects v2) returns HTTP 403 (“Resource not accessible by integration”). The GitHub OAuth consent page has no org picker or scope prompt, so there’s no obvious way to grant org-level project access.

**Steps to reproduce**

1. Add/connect the official GitHub MCP server via OAuth (remote, not self-hosted).
2. Attempt an org Projects v2 action (e.g., list org projects or add/read a project item).
3. Receive 403.

**Expected**

* Ability to authorize org-level Projects (v2) access via OAuth and perform org project reads/writes.

**Actual**

* OAuth consent screen skips without org selection; subsequent org project calls fail with 403.