Bash 5.2.37 installed, but terminal in vscode is still 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

macOS 15.4.1 (24E263)

### Expected behaviour

./bash_profile is executed when terminal in vscode starts.

### Actual behaviour

./bash_profile is not executed when terminal in vscode starts.

### Steps to reproduce

_No response_

### Environment

```yaml
[q-details]
version = "1.8.0"
hash = "da59663e5955cc8bc93064fe89053977ff513311"
date = "2025-04-24T16:37:52.2211Z (5h ago)"
variant = "full"

[system-info]
os = "macOS 15.4.1 (24E263)"
chip = "Apple M2 Max"
total-cores = 12
memory = "32.00 GB"

[environment]
cwd = "/Users/USER/work/gu/fujifilm"
cli-path = "/Users/USER/work/gu/fujifilm"
os = "Mac"
shell-path = "/opt/homebrew/Cellar/bash/5.2.37/bin/bash"
shell-version = "5.2.37"
terminal = "Cursor"
install-method = "brew"

[env-vars]
PATH = "/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:/Library/Apple/usr/bin:/Users/USER/.cursor/extensions/ms-python.python-2024.12.3-darwin-arm64/python_files/deactivate/bash:/Users/USER/work/gu/fujifilm/.venv/bin:/Users/USER/.cargo/bin:/Users/USER/.venv_3.13/bin:~/.composer/vendor/bin:/Users/USER/.jenv/shims:/Users/USER/.jenv/bin:/Users/USER/work/tools/flutter/bin:/Users/USER/.nvm/versions/node/v20.12.2/bin:/opt/homebrew/sbin:/opt/homebrew/bin:/Users/USER/Library/Android/sdk/tools:/Users/USER/Library/Android/sdk/tools/bin:/Users/USER/Library/Android/sdk/platform-tools:/Users/USER/go/bin:/Users/USER/.local/bin:/Users/USER/.pub-cache/bin"
QTERM_SESSION_ID = "02dd33b81cf24964a713fb30d9c4187a"
Q_SET_PARENT_CHECK = "1"
Q_TERM = "1.8.0"
SHELL = "/bin/bash"
TERM = "xterm-256color"
__CFBundleIdentifier = "com.todesktop.230313mzl4w4u92"
```