Yes its a Sonata. I think I am ok (see pic below). I just have no idea what kind of shroud a 4070 or 7900 would have. I put a wood ruler that is up against the M.2 heatsink above the PCIe slot.A picture would be good. Along with a list of all components (make/model) being used in this system.
Tight/close is fine. You don't want unnecessary contact. Some cases allow for drive cages, for example to be removed (or moved). It really depends on what you are working with.
You don't mean the Sonata case in your sig do you?