Looking for advice on whether I should replace or could get away with thread tape on the waste/trap under the kitchen sink.

I can tighten the top nut it to the bottom of the sink, but just when it's getting firm it jumps on the thread. I'm guessing it also loosens from bumps/knocks to the pipes as I woke to a partially flooded floor in the morning, after the dishwasher was going overnight.

It looks like I would need this, if I went down the replacement route.