according to your post, the truck has -"According to the owners manual max trailer weight is 7700"
AND according to your post, the trailer has a DRY ( EMPTY ) weight of -"dry weight 7734"
that puts you OVER your trucks capacity by 34# BEFORE you put a single paper plate in it..
Me-Her-the kids
2020 Ford F350 SD 6.7
2020 Redwood 3991RD Garnet