33R on a 3" lift will be close. looking up a typical 3" lift kit, app to your truck, "details" show it will accept max 32" R.
if money isn't the issue, take it to a tire shop like les schwab and let them entertain you. i'll bet, knowing you'll make a purchase, likely they can slap a set of 33's on a spare rim and see for sure.
don't worry bout full lock rubbing just yet. till you determine what you want vs what will fit. possible adjustment of steering stops is all.
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