so after completing the second floor i made a mistake and activated the bridge on the far right instead of the one closest to the stairs out of confusion. I think I softlocked myself out of progressing. any fixes?

I'd double-check all the upper floors and make sure you didn't miss a room! There are a couple of second floor areas where you can both drop down and continue ascending, and both should be accessible without having to have a bridge in place anywhere. If you've retracted your steps and still can't figure it out, let me know and I'll look into the game data to confirm if it's a bug.