Be careful on pin weight.
I have a Carbon 35 bumper pull toy hauler. 1,500lbs tongue weight with the toy in, 1,700 empty.
My L4060hstc will lift 1,700 on the loader barely, if you get the load very tight or under the SSQA. Lifting the tongue with my quick hitch & trailer mover creaks a lot.
The toy hauler pulls poorly & I should have gotten a 5th wheel. Most 5th wheels have 2-3k lbs of pin weight. An unloaded gooseneck is likely to weigh a fair bit less than a 5th wheel though.
Just be sure your machine can lift the appropriate weights. A quick hitch, teailer Moorer & 2" reciever move the weight back probably a foot or more. That drastically decreases your capacity.
Tractors are designed to tow from the drawbar not the 3pt. Especially with a gooseneck the hitch point is above the axle. If the trailer hangs, the tractor can easily drive out from under the hitch & roll. Towing with the 3pt isn't approved by the safety police. I have no problems shuffling trailers around the yard slowly with my 3pt. But wouldn't tow at any real speed, across rough ground or on a road unless I hitched to the drawbar. Just understand the risks & physics.