I went to https://celest.dev/download and used the windows x64 installer.
git bash is a common terminal used for Windows devs. This seems to be an issue from the installer side.
After installing, my environment reproduces the following:
git bash
$ celest --version
bash: /c/Users/casey/AppData/Local/Microsoft/WindowsApps/celest: Permission denied
powershell
$ celest --version
Celest version: 0.3.4
Dart SDK version: 3.4.0-99.1.beta (C:\Users\casey\Documents\flutter\bin\cache\dart-sdk\bin\dart)
Expectation
Windows installer installs the celest exe without issue for git bash.