How to test a site, multi-landing (X links generate X screenshots)?

Question

Software testing

Made a sophisticated multi-landing system. 2-4 tags are transmitted. Each label has hundreds of options. Thousands of combinations and everywhere the first screen of the site is arranged differently.
Is there any way to quickly check if all combinations are correct?
Ideally, I load a list of 5,000 links per page, but with different tag combinations. I am downloading an archive with 5000 screenshots of the first screen of the site + an indication to which link the screen is (maybe in the file name?)
Tell me, how can I implement something of this kind?

Answer 1

"Each of the labels has hundreds of options. Thousands of combinations" - 100^4 - this is the number of combinations with 4 labels, that is, one hundred million. Are you sure you need that much? Well, this is so, not quite on the topic.
Entire testing frameworks have been created for your purposes. Read the documentation, you can even use the built-in tester in Laravel. God forbid you take screenshots and check them manually =/