Oh, you're totally right! I knew I was a little braindead today. Thanks so much! It absolutely already does the thing I'm asking for, it just got confused because the edges of the bridges were close enough that their anchors overlapped.
Bridging working normally: https://imgur.com/a/U7yqZU3
Thanks!
I was being an idiot. It does bridge correctly, it just got confused because the bridges were close enough together that it thought it had to make them one single bridge. Thanks!