

You’re already asking good questions, which means you’re doing a lot better than many of the people who adopt without thinking. You’re also looking for an adult cat, which means you aren’t going to have to deal with a kitten’s destructive exploratory phase (although, fair warning, adult cats can still be destructive if you don’t prepare properly).
One thing I would say is that you should consider two versus one cats. Some cats don’t handle being alone for a long time well and can become unhappy, while others prefer not having feline company and would be just fine alone for ~48 hours. A good shelter or adoption agency may be able to tell you whether a cat prefers company or solitary.
Like some other commenters, I would strongly suggest going to local shelters and discussing with them. They should entirely understand if you aren’t able to adopt immediately and be able to discuss particulars with you.
Since you’ve said the use is gaming: It’ll depend on what your price point is. Here are my thoughts:
Start with a price point. Whatever it is. Make that, or a range around that, your limit. It’s very easy to succumb to “It’s only 50 more dollars” and suddenly find yourself 20% or more higher than you expected.
CPUs: Like others said, AMD is the generally recommended CPU brand these days. X3D chips are often highly recommended for gaming, but honestly of the AM5 series are good depending on your price point. 7700X, 9700X, 7800X3D, 9800X3D are all good.
Motherboards: Motherboards: Everyone has a horror story about motherboard [brand]. Recommend checking out reviews for a specific model. One thing your want to pay attention to is the number of VRMs it has, especially if you’re thinking of overclocking.
RAM: 32GBs is the norm for higher-end gaming these days. 64 will keep you going for a long while. Do note that AMD AM5 CPUs work best with 2 sticks, even if the board has 4 sockets. RAM with a “6000 Mhz CL30” configuration is generally considered the “sweet spot”.
PSU: There’s a “tier list” of power supplies out there. Get something A or B tiered, with some overhead over your expected wattage consumption.