fudgecakes99 :
you didn't let me finish plug the ups into a surge protector into another ups into another surge protector. You get 5X protection, and it prints free money. But all in all it's kind of unrealistic to expect to get a "really" good ups/surge protector for 100-130 dollars.
You do not get any more protection. In fact, UPS manufacturers quietly say to NOT plug a surge protector into that UPS. That becomes obviouis once one learns what a UPS outputs and how a plug-in protector works - by learning from specification numbers.
Furthermore, a UPS connects the computer directly to AC mains when not in battery backup mode. This is when power is 'cleanest'. So where is this protection that a UPS provided? It only exists in speculation and hearsay.
Again, protection is always about where hundreds of thousands of joules harmlessly dissipates. How do two power strips (maybe a thousand joules each) absorb surges that are hundreds of thousands of joules? How do 2 cm parts inside those power strips block what three miles of sky could not?
Protection adjacent to appliances can even make appliance surge damage easier. More power strips does not increase protection. But it does makes the risk of fire higher. After all, these ignored numbers are damning.
What happens when a hundreds of thousands of joules surge is blocked by that surge protector? Energy increases on a weakest device in that link. Either the fuse blows to protect protector parts (and leave the surge connected to computer). Or catastrophic failure (ie fire) results. But again, these conclusions are completely different because they are based in how a UPS and surge protector actually work.
OP is strongly encouraged to install something that is completely different, that unfortunately is also called a surge protector, and that says where hundreds of thousands of joules harmlessly dissipate. A useful answer also includes numbers.
Best surge protection (what is always found in facilities that cannot have damage) costs about $1 per protected appliance. Others who never learned this stuff will foolishly spend $100+ because hearsay recommends near zero protection. And because others never learned how protection was implemented even 100 years ago. So that direct lightning strikes cause no damage - not even to the protector. But again, that means one must learn this well proven science and experience before denying it exists - and them recommending near zero protection from a power strip or UPS.