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What happened?

What did you do? What happened? What did you expect to happen?
I ran these commands as provided by the docs:

$GH_COPILOT_PROFILE = Join-Path -Path $(Split-Path -Path $PROFILE -Parent) -ChildPath "gh-copilot.ps1"
gh copilot alias -- pwsh | Out-File ( New-Item -Path $GH_COPILOT_PROFILE -Force )
echo ". $GH_COPILOT_PROFILE" >> $PROFILE

I expected the aliases ghce and ghcs to work after reloading the profile.

However this does not work, as the command that is executed is gh copilot.exe ... instead of gh copilot ....
This results in
unknown command "copilot.exe" for "gh"

Versions

What versions of the relevant software are you running?
For example: gh v2.37.0, gh-copilot v0.5.2-beta
PowerShell 7.4.1
Windows Terminal Preview 1.20.10572.0
gh version 2.46.0 (2024-03-20)
gh-copilot.exe version 1.0.0 (2024-03-18)