Preciseness and clarity... Trying to tell in layman terms without being condescending in just a few lines using a foreign language has its challenges.
AH3 is a lightweight game compared to most "realistic world" games of today. There has been talk about it using more than one core of the CPU but the latest news about it was back when quad cores were becoming available and the official opinion was that more than two cores aren't needed for AH3, clock rate was more important. Extra cores could be used for background tasks given the operating system could target the tasks cleverly. That's the latest news I've read here. So unless HiTech has made some multi-core adjustments to the code without telling I'd still rely on the requirements on the front side - with some side notes.
Reading the recommended requirements tells that they were written way over a decade ago. At that time resolutions past 1080p and speeds way over 60 fps were rare not to mention VR. Thus if your goal is to use 1440p or 4k at 144Hz or faster the original requirements are outdated. That's also where a faster CPU is required, to feed the GPU. Gone are the days when you could play AH with a laptop workstation.
I didn't see a huge gain in AH3, maybe 30 FPS.
I wonder what your starting point was! To me that's huge, even if we're talking about 144 to 170+ and there's players that willingly pay serious money for that.
Speaking about video cards, almost anything can beat Intel UHD graphics. I was assuming there already is a card that's capable to run the game. That said I've met people who have been playing hardware intensive PC games for decades but aren't interested in the hardware as long as it works. They just buy something that is plenty good. There's a squaddie who asks every 5 or so years which gaming laptop to buy and our community looks at the alternatives and tells him.