CLI shows 'Claude API' despite OAuth account configured — teleport fails

Description

After /logout and /login with OAuth (Max plan), the CLI status bar always shows "Opus 4.5 · Claude API" instead of "Max". This causes --teleport to fail with:

Error: Session expired. Please run /login to sign in again.

Environment

• Claude Code v2.1.31
• macOS (native install)
• Max plan subscription (confirmed via claude.ai/settings/billing)
• No ANTHROPIC_API_KEY environment variable set

Details

• ~/.claude.json contains a valid oauthAccount object with the correct email and org
• No API key is stored in the config file or environment
• /logout followed by /login re-authenticates but still shows "Claude API"
• /usage → Status tab shows "Login method: Claude API Account"
• /usage → Usage tab returns permission error: "does not meet scope requirement user:profile"
• --teleport <session_id> always fails with "Session expired"

Expected Behavior

After OAuth login with a Max plan account, the CLI should:

1. Show "Max" (not "Claude API") in the status bar
2. Use OAuth tokens for --teleport session authentication
3. /usage should show Max plan usage limits

Steps to Reproduce

1. Have a Max plan subscription on claude.ai
2. Run claude → /logout → /login → authenticate via browser
3. Observe status bar still shows "Claude API"
4. Try claude --teleport <any-session-id> → fails with session expired

Workaround

None found. The OAuth account is stored in config but the CLI doesn't seem to use it for authentication.