Neil: What the hell happened here?
Protagonist: It hasn't happened yet.
Fay: Welcome to the afterlife. You've been in a medically-induced coma while we got you out of Ukraine and rebuilt your mouth.
Protagonist: The suicide pills are fake. Why?
Fay: A test.
Fay: All I have for you is a gesture in a combination of a word: Tenet. Use it carefully. It'll open the right doors, but some of the wrong ones, too.
Protagonist: That's all they told you?
Fay: That test you passed. Not everybody does.
Suggested correction: People doing procedures change gloves all the time. There is nothing suspicious about using 2 pairs of gloves in 3 minutes.
He was already done with the procedure when he removed the first pair of gloves. He was never shown putting on the second pair.
It's the same scene replayed, a true editing error.
But this scenes are within about 15 seconds of time - so there is no time to put on another pair.