Kiro CLI does not show Claude models for Google login Pro account

### Checks

- [x] I have searched [github.com/aws/amazon-q-developer-cli/issues](https://github.com/aws/amazon-q-developer-cli/issues?q=) and there are no duplicates of my issue
- [x] I have run `q doctor` in the affected terminal session
- [x] I have run `q restart` and replicated the issue again

### Operating system

macOS 26.2.0 (25C56)

### Expected behaviour

After signing in with a Google account that has Kiro Pro, Kiro CLI should list the Claude models available to Pro users, or clearly explain why this account is not entitled to Claude models.

### Actual behaviour

After a clean reinstall and Google sign-in, `kiro-cli chat --list-models --format json-pretty` lists only non-Claude models: `deepseek-3.2`, `minimax-m2.5`, `minimax-m2.1`, `glm-5`, and `qwen3-coder-next`. No Claude models are returned.

`kiro-cli whoami` returns `Logged in with Google`.

Kiro CLI version is `2.2.2`.

### Steps to reproduce

1. Fully uninstall Kiro CLI.
2. Remove local state: `~/.kiro` and `~/Library/Application Support/kiro-cli`.
3. Reinstall from `https://cli.kiro.dev/install`.
4. Sign in with Google using `kiro-cli login --use-device-flow`.
5. Run `kiro-cli whoami` and confirm it returns `Logged in with Google`.
6. Run `kiro-cli chat --list-models --format json-pretty`.
7. Observe that Claude models are missing from the returned model list.

### Environment

```yaml

[q-details]
version = "2.2.2"
hash = "7b8bf7d8e854fbf3b4071b047526b3dd851b2563"
date = "2026-05-05T23:09:32.804354Z (5d ago)"
variant = "full"

[system-info]
os = "macOS 26.2.0 (25C56)"
chip = "Apple M4 Pro"
total-cores = 14
memory = "24.00 GB"

[environment]
cwd = "/Users/USER/Library/Mobile Documents/com~apple~CloudDocs/codex"
cli-path = "/Users/USER/Library/Mobile Documents/com~apple~CloudDocs/codex"
os = "Mac"
shell-path = "/Applications/Codex.app/Contents/Resources/codex"
install-method = "unknown"

[env-vars]
PATH = "/opt/homebrew/bin:/opt/homebrew/sbin:/usr/local/bin:/System/Cryptexes/App/usr/bin:/usr/bin:/bin:/usr/sbin:/sbin:/var/run/com.apple.security.cryptexd/codex.system/bootstrap/usr/local/bin:/var/run/com.apple.security.cryptexd/codex.system/bootstrap/usr/bin:/var/run/com.apple.security.cryptexd/codex.system/bootstrap/usr/appleinternal/bin:/opt/pmk/env/global/bin:/Library/Apple/usr/bin:/Users/USER/.codex/tmp/arg0/codex-arg04ipAv9:/Users/USER/.local/bin:/Users/USER/.bun/bin:/Users/USER/.catpaw/bin:/Users/USER/.local/npm/bin:/Users/USER/.cargo/bin:/Applications/Codex.app/Contents/Resources"
Q_SET_PARENT_CHECK = "1"
SHELL = "/bin/zsh"
TERM = "dumb"
__CFBundleIdentifier = "com.openai.codex"
```