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Transfer of retail windows product key. Will the OEM stay and be used again?

Transferring Retail but keeping OEM key’s installed?

I’m upgrading my laptop (Razer blade stealth) from the OEM windows 10 home, to the RETAIL version of windows 10 pro. I’m wondering if I take that RETAIL product key, and transfer it to a new computer (example, buying a new laptop), will the old laptop
still have the OEM windows 10 home product key installed after the transfer? Or will windows be illegitimate?