Use with Pro license log in option fails with service error

### 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 6.8.0-71-generic - Ubuntu 24.04.3 LTS

### Expected behaviour

Login with the "Use a Pro license" option succeeds

### Actual behaviour

I signed up for a Pro subscription yesterday and used it for several hours (and earlier today I think). Now, however I am unable to log in with the Pro option from either the CLI or the App. In both cases the browser page opens, I click the approve button and then I see the "Request approved" page. However, in the CLI, I see: Logging in...error: service error. In the app I see: "Failed to login Error occurred during authorization: service error"

### Steps to reproduce

Attempt to log in via either the app or the cli and choose the "Use with Pro license" option.

### Environment

```yaml

[q-details]
version = "1.13.1"
hash = "c658e9e187b6264a24821db3a3ddc591e3095d2f"
date = "2025-08-01T22:09:51.266693Z (5d ago)"

[system-info]
chip = "Intel(R) Core(TM) i5-10600 CPU @ 3.30GHz"
total-cores = 6
memory = "15.54 GB"

[system-info.os.linux]
kernel_version = "6.8.0-71-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"
install-method = "unknown"

[env-vars]
DISPLAY = ":1"
PATH = "/home/USER/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 = "ff8fc4ab1b4d4ed0815bb829bba7e3c5"
QT_IM_MODULE = "ibus"
Q_SET_PARENT_CHECK = "1"
Q_TERM = "1.13.1"
SHELL = "/bin/bash"
TERM = "xterm-256color"
XDG_CURRENT_DESKTOP = "ubuntu:GNOME"
XDG_SESSION_DESKTOP = "ubuntu"
XDG_SESSION_TYPE = "x11"
XMODIFIERS = "@im=ibus"

[chat-settings]

[chat-trusted_tools]
fs_read=trusted

[chat-failed_request_ids]
none

[chat-context]
current_profile=q_cli_default
profile_context=
AmazonQ.md
README.md
.amazonq/rules/**/*.md

files=none
```