My wife and I have identical 7th gen i5 laptops, except hers has Windows while mine has Mint. I regularly use mine in front of the TV, and recently she tried to do the same. We had to turn the TV volume up and it took a minute to figure out why. The fans on her laptop were running flat out to keep it cool because Windows had so much going on in the background that the CPU was at 100%.
She was ready to scrap the laptop because it was so slow, thinking that it was normal.
"A big downside here is that as far as Windows is concerned, this is different "hardware" so it won't activate based on your physical device."
You can transfer a Windows licence from another installation, so in OP's situation, from the original installation. During Windows setup, select the 'I don't have a license key' option, then once Windows is installed, go into settings, click the Windows isn't activated option, and go through the activation troubleshooter.
I can't remember exactly where, but somewhere in there is the option to transfer the license from another installation. It has to be the same version of Windows.
You've been given a lot of good advice, especially about Nvidia cards, but watch out for wifi adaptors too. As far as I know there are no problems with fairly recent hardware, but I've been caught out when trying Mint on an old laptop.
That looks great, thanks :)