According to my napkin math it would take longer than an hour if the tape was ~3.3*10^218 sec long (or three million trillion trillion… (18 trillions) …trillion years). Assuming you have only have two options to choose between but can pick which alternative in in 5 seconds (2^720) and you want to get down to a 1 minute intervall.

So i mean its not impossible to find a tape long enough though it seems unlikely that we would be so off in our estimates of the age of the universe.

Jesus christ, having such an avatar would make me delete my account in shame. Especially if it also told people that i was into nfts at the same time.