I doubt it, even if it has the binaries to run it, Im pretty sure classic shell use integral system files, that likely just aren't there with reactos..
unlike a game, that is generally self contained. classic shell relies on system files, and even file locations that may not even be present with reactOS.
Im not saying it wont work, but I think its likely quite a few serious bugs would crop up, even if you get it to run..
Though thinking about it, I think the installer would probably just crash or something
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