Will 33/12.5/15R fit?

I found some guy on FB market that sold me some super cheap Mickey Thompson wheels and dry rotted 33/12.5/15R tires.
He said his wife had them on her tacoma but that could have just been talk to get me to take em.
I am planning on getting new tires but I have a couple questions.
The 15R in the tires size means the Wheel is 15 inch, correct? So would a 15 inch wheel fit my truck (2013 TRD Sport)? Ive seen some people that dont take into account the wheel size and completely destroy their brake calipers.
Also, I am stock suspension and I dont plan on lifting my truck any time soon. Does anyone know what would the largest tire size I can put on my truck without it rubbing and without a lift?

 

As far as I know, 15s dont fit. But, those wheels look like they have a ton of offset, so they may just stick out enough to clear the brakes lol.