I've tried it and it seems to work: all you do is replace the 'twitter.com' part of the url with 'nitter.it' and keep the rest the same and it opens the page for you, eg:
If the .it mirror fails there's a list of alternatives here: https://github.com/xnaas/nitter-instances#readme Sounds like there's a browser extension that does it automatically but haven't tried it yet.
Or go with your initial impulse and ditch the site completely. Prob best for your sanity