Post-COVID brain fog is legitimately documented and you're definitely not alone in this - tons of people report the same thing months after infection. The timeline you're describing (two months out) actually tracks with what a lot of folks experience. Your body's probably still dealing with some inflammation or immune system weirdness from the virus, and that can absolutely mess with your ability to focus and think clearly.
The good news is that most people do see improvement over time, especially if you're already a couple months in. From a practical standpoint, the stuff that helped me work through similar fogginess was getting consistent sleep (seriously, this matters way more than people think), staying hydrated, and not overdoing it mentally or physically while you're still recovering. If you're a reader like me, you probably noticed you can't focus on books the way you normally could - that's frustrating but pretty normal. Some people find that light exercise helps too, though you don't want to push it if you're still feeling wiped out.
If this keeps going for like another month or two without any improvement, might be worth checking in with your doctor just to rule out anything else going on. But honestly, the fact that your main symptoms cleared up quick is a decent sign that the fog should start lifting too.