Cannot access tools even when they are installed and trusted

### 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

Linux 5.10.240-218.959.amzn2int.x86_64 - Amazon Linux 2

### Expected behaviour

Uses the tool as expected

### Actual behaviour

Says the tool is not installed and gives me instructions to install the tools

### Steps to reproduce

Just install amzn-mcp and run q chat --trust-all-tools

### Environment

```yaml

[q-details]
version = "1.15.0"
hash = "a8a0426eaff32ac9b1599ca1b1f1881ffd16054d"
date = "2025-09-02T17:19:48.333498Z (1d ago)"

[system-info]
chip = "Intel(R) Xeon(R) Platinum 8488C"
total-cores = 16
memory = "123.78 GB"

[system-info.os.linux]
kernel_version = "5.10.240-218.959.amzn2int.x86_64"
id = "amzn"
name = "Amazon Linux"
pretty_name = "Amazon Linux 2"
version_id = "2"
version = "2"
variant = "internal"

[environment]
cwd = "/local/home/USER"
cli-path = "/local/home/USER"
install-method = "toolbox"
in-ssh = true

[env-vars]
PATH = "/home/USER/.rbenv/shims:/home/USER/.rbenv/bin:/home/USER/.local/share/mise/installs/node/20.18.0/bin:/home/USER/.local/share/mise/installs/python/3.12.9/bin:/home/USER/.local/share/mise/installs/python/3.11.11/bin:/home/USER/.local/share/mise/installs/python/3.10.16/bin:/home/USER/.local/share/mise/installs/python/3.9.21/bin:/home/USER/.local/share/mise/installs/python/3.8.20/bin:/home/USER/.local/bin:/home/USER/.toolbox/bin:/usr/local/bin:/usr/bin:/home/USER/bin:/usr/local/sbin:/usr/sbin:/apollo/env/ApolloCommandLine/bin:/home/USER/bin:/home/USER/usr/bin:/usr/kerberos/bin:/apollo/env/envImprovement/bin:/home/USER/.toolbox/bin:/usr/local/bin:/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/sbin:/apollo/bin:/apollo/sbin:/apollo/env/ApolloCommandLine/bin"
Q_SET_PARENT_CHECK = "1"
SHELL = "/apollo/env/envImprovement/var/bin/zsh"
TERM = "xterm-256color"
```