Yes, of course it will be enough.
If it can easily tow 12,250 lbs including 3 full size adults up a 7% mountain road that is 9,000 ft at the start and 12,000 ft at the top while then I think it is a safe bet it will tow that 8,200 lbs with no problems.
2015 Ram 2500 Ike Gauntlet
BTW, I tow much more than what they do with mine. Don't let the gear ratio fool you, the engine has more than enough torque to compensate.
In fact, looking at the numbers, the 2013s-2015s with a 3.42 are putting more torque to the ground than a 2011 with 3.73s.
Ram 2014 2500/3500 6.7L CTD 800 lb-ft @ 1,600 rpm with 68RFE with 3.42 rear ratio
1st gear--3.23: 2,584.00 lb-ft x 3.42 = 8,837.28 lb-ft
2nd gear--1.84: 1,472.00 lb-ft x 3.42 = 5,034.24 lb-ft
3rd gear--1.41: 1,128.00 lb-ft x 3.42 = 3,857.76 lb-ft
4th gear--1.00: 800.00 lb-ft x 3.42 = 2,736.00 lb-ft
5th gear--0.82: 656.00 lb-ft x 3.42 = 2,243.52 lb-ft
6th gear--0.62: 496.00 lb-ft x 3.42 = 1,696.32 lb-ft
Ram 2011 2500/3500 6.7L CTD 650 lb-ft @ 1,600 rpm with 68RFE with 3.73 rear ratio
1st gear--3.23: 2,099.50 lb-ft x 3.73 = 7,831.14 lb-ft
2nd gear--1.84: 1,196.00 lb-ft x 3.73 = 4,461.08 lb-ft
3rd gear--1.41: 916.50 lb-ft x 3.73 = 3,418.55 lb-ft
4th gear--1.00: 650.00 lb-ft x x 3.73 = 2,424.50 lb-ft
5th gear--0.82: 533.00 lb-ft x 3.73 = 1,988.09 lb-ft
6th gear--0.62: 403.00 lb-ft x 3.73 = 1,503.19 lb-ft
