Honestly this is what I use most of the time because it's hit the mark nearly 99% of the time. Quite a variety of recipies, and actually the comment section is genuinely full of useful information!
t2bot.io uses webhook/bot based bridging which at least doesn't trigger the "no custom clients" clause (as you aren't using any real user account tokens)
The broader question of whether bridges are allowed seems to be broadly yes as there are many other bridges out there for Discord (IRC/slack ones) and those haven't been shut down either.
I think so long as you aren't abusive, Discord don't care.