Kiro CLI 1.28.2 on Linux: profileArn missing after Google login, chat auth fails with Builder ID too

### 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 6.19.6+parrot7-amd64 - Parrot Security 7.1 (echo)

### Expected behaviour

After a successful login, Kiro CLI should attach a usable profile/session to the CLI and allow interactive chat requests to work normally.

Specifically:
- Google login should result in a usable profile being available to the CLI
- `kiro-cli whoami` should show the account/profile information needed for chat
- entering a prompt in interactive chat should succeed
- Builder ID / free login should also produce a valid chat session after successful authentication

### Actual behaviour

Note: I am using `kiro-cli`, not `q`.

For the template checks, I ran the Kiro equivalents:
- `kiro-cli doctor --all`
- repeated logout/login
- reproduced the issue again in a fresh CLI session

I did not run `q restart` literally, because this issue is occurring in `kiro-cli`.

I am seeing two separate auth failures on Linux with kiro-cli 1.28.2.

1. Google login path:
- `kiro-cli login` succeeds
- interactive CLI starts
- `/usage` fails with:
`profileArn is required but no profiles are available. Please log in and select a profile.`
- normal prompts like `hello` fail with the same `profileArn` / no profiles error

2. Builder ID / free login path:
- `kiro-cli logout`
- remove `~/.local/share/kiro-cli/data.sqlite3`
- `kiro-cli login --license free --use-device-flow` succeeds
- `kiro-cli whoami --format json-pretty` returns:
`{"accountType":"BuilderId","email":null,"region":"us-east-1","startUrl":null}`
- `kiro-cli chat --list-models` works
- interactive chat still fails when I type a prompt such as `test`
- error shown:
`Authentication failed. Your session may have expired. Run 'kiro-cli login' to re-authenticate.`

So authentication appears to complete, but interactive chat remains unusable.

### Steps to reproduce

This reproduces consistently.

Case 1: Google login / missing profileArn
1. Run `kiro-cli logout`
2. Run `kiro-cli login`
3. Complete Google sign-in successfully
4. Run `kiro-cli`
5. Run `/usage` or type `hello`
6. Observe:
`profileArn is required but no profiles are available`

Case 2: Builder ID / free login / chat auth failure
1. Run `kiro-cli logout`
2. Run `rm -f ~/.local/share/kiro-cli/data.sqlite3`
3. Run `kiro-cli login --license free --use-device-flow`
4. Complete browser/device authorization successfully
5. Run `kiro-cli whoami --format json-pretty`
6. Run `kiro-cli chat --list-models`
7. Run `kiro-cli`
8. Type `test`
9. Observe:
`Authentication failed. Your session may have expired. Run 'kiro-cli login' to re-authenticate.`

Additional notes:
- `kiro-cli doctor --all` was run
- issue reproduces after fresh logout/login
- issue reproduces after deleting local CLI state
- IDE works, but CLI interactive chat does not

### Environment

```yaml

[q-details]
version = "1.28.2"
hash = "27868a6e6508e32a80d15e6eba2f6adbab6c2aa7"
date = "2026-03-27T00:12:46.489292Z (4d ago)"
variant = "minimal"

[system-info]
chip = "AMD Ryzen 5 7520U with Radeon Graphics"
total-cores = 4
memory = "14.87 GB"

[system-info.os.linux]
kernel_version = "6.19.6+parrot7-amd64"
id = "debian"
name = "Parrot Security"
pretty_name = "Parrot Security 7.1 (echo)"
version_id = "7.1"
version = "7.1 (echo)"

[environment]
cwd = "/home/USER/repos/shadowcheck-web"
cli-path = "/home/USER/repos/shadowcheck-web"
os = "Linux"
shell-path = "/usr/bin/bash"
shell-version = "5.2.37"
terminal = "Konsole"
install-method = "unknown"

[env-vars]
DISPLAY = ":0"
PATH = "/home/USER/.npm-global/bin:/home/USER/.local/bin:/snap/bin:/usr/local/sbin:/usr/sbin:/sbin:/usr/local/bin:/usr/bin:/bin:/usr/local/games:/usr/games"
SHELL = "/bin/bash"
TERM = "xterm-256color"
XDG_CURRENT_DESKTOP = "KDE"
XDG_SESSION_DESKTOP = "plasma"
XDG_SESSION_TYPE = "wayland"
```