BioShock Infinite: The Complete Edition

I think these have to be distinct tears. About 2/3 of the way through the game, I tried rotating through a set of three tears to see if I could hurry the process up, but it didn't seem to work. Your best bet is to always open all the tears you come across if you want to get this faster. There are a lot of potential tears in the game, though, so it's unlikely you'd miss it on a playthrough unless you rarely used them.