cheated on honorlock.. own it or no?

UPDATE: DID NOT GET FLAGGED. CONTINUE FOR DETAILS

Took a quiz with honorlock... forgot that opening google on my phone will pop up on my laptop (like an idiot) so i'm pretty sure it'll get flagged.

do i own it, email the prof and accept a zero for the quiz to try and avoid getting an F in the class for cheating or do i just try to get away with it