Bun support

### 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 26.1.0 (25B5042k)

### Expected behaviour

When I call `bun` in my terminal some options are missing. One that seems important is the *outdated* to list all JS libraries that are outdated and should be upgraded.

### Actual behaviour

The *outdated* option is not part of the `bun` commands...

### Steps to reproduce

1. Open terminal
2. Make sure Amazon Q is launched
3. Type `bun` and wait for the list of options to appear
4. The *outdated* option is not part of the list

### Environment

```yaml

[q-details]
version = "1.16.2"
hash = "c4c80bb44cb22b6e19129ed7475f2793ff20135d"
date = "2025-09-19T01:27:56.356289Z (11d ago)"

[system-info]
os = "macOS 26.1.0 (25B5042k)"
chip = "Apple M1 Max"
total-cores = 10
memory = "32.00 GB"

[environment]
cwd = "/Users/USER/Sites/listopia"
cli-path = "/Users/USER/Sites/listopia"
install-method = "unknown"

[env-vars]
PATH = "/Users/USER/.rye/shims:/var/folders/gg/hxf07b1n629d1wzq2rzct8cr0000gn/T/frum_2007_1759082486941/bin:/Users/USER/.nvm/versions/node/v22.3.0/bin:/opt/homebrew/opt/libpq/bin:/Applications/Sublime Text.app/Contents/SharedSupport/bin:/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:/Applications/Ghostty.app/Contents/MacOS:/Users/USER/.local/bin:/Users/USER/.orbstack/bin"
QTERM_SESSION_ID = "ae3598aff1bb43c6a418cb6892b28b50"
Q_SET_PARENT_CHECK = "1"
Q_TERM = "1.16.2"
SHELL = "/bin/zsh"
TERM = "xterm-ghostty"
__CFBundleIdentifier = "com.mitchellh.ghostty"
```

No source files, tests, or entry points are named. Start by reproducing the missing outdated option with bun in an Amazon Q terminal, then locate the CLI handling that presents bun commands; done means outdated appears in the displayed options and lists outdated JavaScript libraries.

Written by the indexing model from the issue text.