Path does not contain ~/.local/bin

### 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 15.6.0 (24G84)

### Expected behaviour

I expect q doctor to return no issues.

### Actual behaviour

### Steps to reproduce

_No response_

### Environment

```yaml

[q-details]
version = "1.13.3"
hash = "98d6e0c79c5897aaa8e057e40d38cc74eea1c2f5"
date = "2025-08-11T22:19:22.888526Z (3d ago)"
variant = "full"

[system-info]
os = "macOS 15.6.0 (24G84)"
chip = "Apple M3 Pro"
total-cores = 12
memory = "36.00 GB"

[environment]
cwd = "/Users/USER"
cli-path = "/Users/USER"
os = "Mac"
shell-path = "/Users/USER/.toolbox/tools/toolbox/1.1.2125.0/toolbox-exec"
shell-version = "5.9"
terminal = "macOS"
install-method = "toolbox"

[env-vars]
PATH = "/Users/USER/.local/share/mise/installs/node/18.20.2/bin:/Users/USER/.local/share/mise/installs/python/3.12.11/bin:/Users/USER/.local/share/mise/installs/python/3.11.13/bin:/Users/USER/.local/share/mise/installs/python/3.10.18/bin:/Users/USER/.local/share/mise/installs/python/3.9.23/bin:/Users/USER/.local/share/mise/installs/python/3.8.20/bin:/opt/homebrew/bin:/opt/homebrew/sbin:/Users/USER/.toolbox/bin:/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:/Users/USER/.cargo/bin:/Applications/Visual Studio Code.app/Contents/Resources/app/bin"
SHELL = "/bin/zsh"
TERM = "xterm-256color"
__CFBundleIdentifier = "com.apple.Terminal"
```