The real limiting factor is not the GVWR. It's the GAWR RR/Goss Axle Weight for the rear.
So 2,771 lbs is that limit, across two tires. The tires need to support 1,385.5 lbs, minimum.
Load Index 94 tires have ~7% more load capability than 1385 lbs.
Load Index 98 tires have ~19% more load...