Host Mammoth camper

Your camper will be at 6,000 lbs easily. My dealer stamp was about the same weight as yours. Knowing you will pick up the new camper with the truck you have, gauge that experience and get weighed. A 9,000 lb trailer behind your set up should tell the story before it's written. That's 1.5 + jeeps

IMO doable for the camper. The truck will also tug 10k while hauling the camper but I personally wouldn't want to on a regular basis or thru the mountains.
You'll need at a minimum to get a proper hitch extension and analyze the tongue weight. Asking a lot of the back of a 1 ton truck.
Regarding suspension, if you're planning on making this a regular occurrence, I'd ditch the air assist for a full leaf setup with aftermarket leafs to carry the load. Someone else can chime in about stability with the air bag assist. My Gut says too much air and not enough spring may make for a bouncy ride.

Ideal setup would be a 5500/F550.

When bought truck and camper, they said the 3500 is all I need. Seen a couple
of post doing the same weight with TC and trailer weight. I see that I will go
over payload , but can't find anything on rear suspension I have. Looked it up
online the pictures are different than what's on my truck.This is my first TC,
wanted to tow my boat doesn't look like I can.
Thanks

You are probably going to be over your GVWR, but the tires should be good. I don't know about the axle on that truck. There are people here who bought 5500s for that TC because they were going to two heavier trailers.

I'm sure you'll get more responses in a bit.

I can't see this one being right. Most people load their campers with 1000 pounds, and you need to count on the tongue weight of the trailer bearing down so far back of the rear axle, as well as the weight of the camper and it's center of gravity.

Sit down, look up the capacity of the exact truck you have, with the tires and axles, then look at passengers and trailer hitches, then weigh the truck so you really know how much you can put in the box. The center of gravity might be behind the rear axle with that camper...