Looks like 7,147 is the empty weight if I'm reading that right. By the time you get it loaded up for camping you'll be closer to 9,000 lbs. and the tongue weight will be close to the payload of the truck before you put any people or gear in it. Ours is 7,500 lbs fully loaded for camping with 950 lbs on the tongue, and I pulled it for 4 years with a long-body (Yukon XL Denali) and it's about all I wanted on the hitch in windy conditions. I pull it with a 2018 Suburban 3500 HD now and I'm much happier.
That trailer is Suburban 2500/3500 material, in my opinion.
Never mind the fact that you'll be completely overloading your rear axle, the weak point of the half-ton trucks.
If you're planning to tow it 50 miles to the lake/shore, never going above 55 MPH, go for it. But if you're planning long road trips, you need to reconsider.
The three primary things working against you :
1) Short wheelbase - less stability.
2) Weak rear axle - will be the first thing overloaded.
3) Payload - unlikely you'll have enough left for people.
You want to shop for "half-ton towable" trailers.
For your Yukon - 24-26 feet, 5000-lb dry weight
RV dealers want to sell an RV. They're unlikely to tell you your tow vehicle isn't up to *****.
I tow what you're considering with my 2500 Suburban, and I'm close to its limits.
34', 8000 lbs (loaded).