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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.
I think that the real answer is that different things work for different people.
Personally when I make changes in my life I always go 100% straight away. I have a really hard time with half measures. Like when i wanted to lose 5 kg I started logging everything i ate and just was super strict with ny kcal intake for a year to not gain it back, no cheat days. And when i went vegan a few years later i did that cold turkey.