Describe the bug

Running gh auth status reports account as active, but API calls use another account.

> gh --version
gh version 2.63.0 (1980-01-01)
https://github.com/cli/cli/releases/tag/v2.63.0

Steps to reproduce the behavior

1. You have two users on same hostname github.com, last active account is user1.
2. Switch to another folder with custom GH_CONFIG_DIR (via direnv), with a custom config which has one user user2
3. Run gh auth status

> gh auth status
github.com
  ✓ Logged in to github.com account user2 (keyring)
  - Active account: true
  - Git operations protocol: ssh
  - Token: gho_************************************
  - Token scopes: 'gist', 'read:org', 'repo', 'workflow'

6. Run gh api /user | jq .name => prints user1, contradicting auth status output

The expected behavior is to use the token for the given host+user of current repository without needing to gh auth switch, and report active account correctly.

Context

Active token is fetched from keyring using only hostname

Related to #9111 (comment))