I think Toyota used an actual media filter in the 2002 Camry, but I can be wrong.
I'd drop the pan and change the filter to new OEM, SPX or Toyo Roki supplied those. Then do successive drain-fills with T-IV/3309, Castrol IMV or MaxLife. Toyota really didn't spec T-IV or WS across the board until the mid-2000s, but do check the dipstick for a white/blue label, it should say T-IV on the Japanese part of the label or T-IV stamped on the dipstick blade.
MaxLife is held as gospel here, I've used it with success but I'm also slightly leery of multi-spec fluids. If the tranny shifts fine and there isn't shudder/slipping you should be OK.