Will 33” Cooper STT Pro tires work on my TJ with 2.5” of lift?

Nov 5, 2018
I would like to know if I purchase these cooper tires 33X12.50R15LT Discoverer STT PRO, if I will have any trouble with these tires rubbing, I don't think I have to worry about height. I have a 2 1/2 inch rough and country suspension lift and plan on putting on 1 1/2 wheel spacers. My wheel are 15" x 8" with a backspacing of 5.5 (stock wheel)
2005 jeep wrangler TJ sport I asked a similar question before, but these are different tires. You guys are full of good knowledge and would like your expert advise before I invest this kind of money. I did not purchase the tires or wheel spacers yet, waiting for your answer. Thanks in advance