While this doesn't directly address the question, I stand by the marked answer as Warp is indeed built on command shells.

However, I want to share a relevant finding for Warp users. For those looking to integrate Warp into their workspace more seamlessly, there's a built-in feature described at https://github.com/warpdotdev/Warp/issues/257#issuecomment-1175504092. This feature allows users to bring their Warp instance above all opened windows. Note that this feature is currently available only for macOS and Windows.

I decided to put this here because this question is the first result that appears in my Google search, I hope this is ok with everybody.