Update the Q cli using q update command not working

### 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 6.14.0-32-generic - Ubuntu 24.04.3 LTS

### Expected behaviour

q update should I ideally update the Q cli, but in my case it is not getting updated to the latest cli version

### Actual behaviour

q update should I ideally update the Q cli, but in my case it is not getting updated to the latest cli version

### Steps to reproduce

_No response_

### Environment

```yaml

[q-details]
version = "1.16.2"
hash = "ad0c864cba444a41b06b43e119f1d6bbc21bcf06"
date = "2025-09-19T04:25:19.43042Z (12d ago)"
variant = "full"

[system-info]
chip = "12th Gen Intel(R) Core(TM) i5-1235U"
total-cores = 10
memory = "15.31 GB"

[system-info.os.linux]
kernel_version = "6.14.0-32-generic"
id = "ubuntu"
name = "Ubuntu"
pretty_name = "Ubuntu 24.04.3 LTS"
version_id = "24.04"
version = "24.04.3 LTS (Noble Numbat)"

[environment]
cwd = "/home/USER"
cli-path = "/home/USER"
os = "Linux"
shell-path = "/usr/bin/bash"
shell-version = "5.2.21"
terminal = "Gnome Terminal"
install-method = "unknown"

[env-vars]
DISPLAY = ":0"
PATH = "/home/USER/.local/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/usr/local/games:/snap/bin:/snap/bin:/home/USER/.local/bin"
QTERM_SESSION_ID = "7ee922689c3246ad96b4aeab1de12c40"
QT_IM_MODULE = "ibus"
Q_SET_PARENT_CHECK = "1"
Q_TERM = "1.16.2"
SHELL = "/bin/bash"
TERM = "xterm-256color"
XDG_CURRENT_DESKTOP = "ubuntu:GNOME"
XDG_SESSION_DESKTOP = "ubuntu"
XDG_SESSION_TYPE = "wayland"
XMODIFIERS = "@im=ibus"
```

Non sono identificati alcun file sorgente, test o punto di ingresso. Per prima cosa riproduci `q update` su Ubuntu 24.04 con la versione 1.16.2 della CLI e confronta quindi la versione installata; l’issue è completata quando il comando aggiorna Q all’ultima versione e il problema non è più riproducibile.

Scritto dal modello di indicizzazione a partire dal testo della issue.