Yes you can tow that trailer safely and with authority given you got the Eco boost.
Don't let the weight ninnies scare you if that's the real world weight of your TT, or even if it's heavier.
Idfk what people did before we had 14kgvw pickups with ABS, sway control, built in trailer brake controllers, 10klb axles, 4 wheel dual piston disk brakes, 4000lb cap tires and 900 ft lb stock engines with smart 6 speed slush boxes and automatic exhaust brakes..........
Oh wait, they/we/I, hooked up and towed. It was a bonus if you had overload springs, a BIG block or trailer brakes........
Maybe the roads are scarier today than back in the good ole days!