Not only NO, but Heck NO. I have exact same truck except extra cab, not crew. You do not need more weight on the front tires. It will not even get the extra rear spring to hit... do anything.
I have tied my bumper and receiver together so I can put more than 1000 lbs of tongue weight without WD.
Welcome to the forums... lots of usually good free advice although there are too many weight police on here.
This post is my opinion (free advice). It is not intended to influence anyone's judgment nor do I advocate anyone do what I propose.
Sold 04 Dynasty to our son after 14 great years.
Upgraded with a 08 HR Navigator 45โ...