It might not hurt to scale it with a certified ticket. At that weight I do not think you will have to but better safe than sorry. Try to scale it as dead empty it as possible. I am told trailers under 7500 do not need a safety inspection. Check like Kirk said.
On my newest tow p/u if I had run just one more gallon of gas before scaling I would have been under a
thresh-hold by about 8 pounds. I came out at an even 8000.lbs. I can't remember for sure but I think my tags would have been slightly less each year.
I have a 2019 Airstream 25FB with curb weight of 5500 pounds. Maxes out at 7300 pounds.
Should I get a Cat Scale slip within a few days of arriving in case an issue? I don't have one on hand but don't recall the VIN normally being attached though.....