Both are sufficient. The 7800XT is barely faster than the 6800XT, it could almost be considered negligible. If given the choice (all else being equal), I would go with the 7800XT, just for the fact that it's newer and therefore comes with a slightly better feature set.

~~That being said, the 7800XT has worse energy efficiency than the 6800XT. I don't remember the numbers off the top of my head, but if you care about either energy efficiency or heat output, I would consider looking into that before you make a decision.~~

~~I've heard that you can knock off like 50% of the energy usage for 20% less performance from the 7800XT, but then that brings up the issue that if you're willing to do some performance tweaking on the 7800XT, you're likely also willing to do performance tweaking on the 6800XT. So, your mileage may vary on that.~~

Edit: I misremembered - 7800XT is more power efficient than 6800XT. There should be no reason to go for the 6800XT if they're the same price

How's the cooling in your case? if you have tons of airflow and already keep things cool, you'd probably be fine to go with the 7800XT, even with the worse cooling solution. If things are tight and warm in there, you'd probably want to avoid the 2 fan blower :c

Are you me? haha I was also interested in getting a Powercolor Red Dragon 6800XT, but then I researched a bit and read that Powercolor is somewhat of a second-tier GPU maker, so I'm going to go for a Sapphire Nitro+ 7800XT (not the same price, but only a little more expensive, 540 vs 605 -different markets-).

I have a Meshify C as well, and the Nitro+ is 320mm long while on Fractal's website they list 315mm as maximum GPU length with the bottom front fan installed. To solve the problem of having a 320mm card with a front fan I researched a bit and found out that there are slim fans, so I will get a Arctic P14 slim wich is 16mm deep (compared to 25mm standard fans), and things should fit like a glove (telling you this in case you also go for a longer card)

Its less that its minimal, and more that the 7800xt is outright a smaller gpu than the 6800xt (7800xt is 60 cu, 6800xt is 72 cu)

The 7800xt is more of a 6800 because the 6800 is a 60 cu product, so from gen to gen, its more accurate to conpare the 2.

Similar to nvidia, theres a naming smaller die higher name, its just less egregious than nvidia did (as amd moved the non xt to xt, where nvidias is sometimes outright a completely different die for the most part)

Either card is solid. Are you specifically looking at reference designs or are you including AIBs as well?