I would guess the real hitch weight would be in the 900-1000# range.
If it has a front queen island bed, there is a large storage area under the bed that people tend to fill up with heavy items. Adds to the hw.
With this posted dry wt. i would add 1500# maybe 2000# to that, not so much because you will adding 2000# of stuff, but i question the dry wt. A 32 ft TT rolling down the road will be in the 7500# range.
I would google, the forum of the mfg. to talk to real owners to give you their numbers on a scale.
The tires you are running seem like 'P' tires due to the under 3000# rating 40-50 lbs PSI. LT's in that size would be in the 3400# range at 80 PSI.
I would see how the 'P' work for you while paying attention to your rear axle weight at a scale. Naturally, you need to buy a trailer by then but , adding tires (if you need them) would be the final link.
If you are within your specs, see how the combo drives. LT tires would probably feel better due to the more stiff sidewall, but i would not jump on that till you have to.
