Seems to me you have the truck and now have the trailer, so kinda asking if you should close the barn doors after the horses are already out.. ;)
Your Tacoma will move down the road with that trailer, no question. How you like how it tows is going to be the real question..
It might be the easiest tow of your life, or it could be the tow from hell.. Lot depends on the loading of it and the hitch setup and what your towing expectations are.
Since we don't really know any of that... Well... I'd say I wish you the best of luck with it and it's gonna be a heavy load for you, so keep that in mind when you hit your first grade.. ;)
I tow a #5000 fully loaded TT with the truck in my sig and it's a great tow, but the truck knows it's back there and even with only #5000, you have to watch what the heck you are doing.
Mitch