Don't be overly concerned with "class of ship". Just look at the deck plans and see what they have.
Some think the Breakaway+ class is the one with the go-carts. While it is true that the ships with go-carts are Breakaway+ (and Prima), not all Breakaway+ have go-carts.
The Dawn is an old ship, but refurbished in 2021, so has "new" stuff. It's smaller, for sure, and in its own class. There are a number of relatively similar size ships in the "Jewel class", but they are all a little different in their own ways.
Just explore the deck plans and see what hits your mark.