Will I be able to reinstall the trial version if I reset my Mac?

Hi everyone,
I installed the Trial version of Paralells 19 because I wanted to test the behaviour of Windows 11 on my M1 Air. However, I didn't have enough time to test it properly and not my 14 days trial has expired.
Is there a way to reinstall it again? I'd prefer a normal workaround but if needed, I will restore my Mac to factory settings and reinstall the macOS - is this going to work or is Parallels still going to identify my system as used already?