kinda sucks that this late in the game, twitter is suddenly no longer available to archive twitter culture from
you can archive up to 6000 tweets a day if you pay for twitter blue. that covers a fraction of dril. let alone anyone else. they shut down the APIs so all you can use is stuff like gallery-dl. this guy is/was making a tool that'd archive the Canonical Form of a tweet (as a screenshot, with video/images/etc) but at this point it might be too late.
even vine lasted years after it shut down.
I think if you're looking to at least archive your own account and any media you've posted to it, there is an option to request an archive download buried in the settings.
It only works for your own but people trying to rescue their archived stuff from twitter might find this is the only viable way to do it anymore.