While bacteria are in their biofilm state they are highly resistant to anti-biotics. However when they are broken up they should be much less resistant to them and without the biofilm they tend to replicate and become vulnerable to antibiotics. Just breaking the biofilm may not be enough and you need to hit them with something antibacterial in nature once they put into a vulnerable state. I think what is likely is killing the bacteria is regardless going to make you feel bad because its going to release a bunch of toxins, to some extent I suspect clearing something like this is going to be brutally unpleasant but needs doing multiple times a day to break up the formations and keep them in a soup of antibacterials to stop them replicating and reforming their biofilm.
Interestingly EGCG is considered an anti biofilm component, which of the Liesk supplements is one of the more effective ones for me.
Some reading on various mechanims know to break down biofilms and how to kill the bacteria (Hip has probably read this but I found it interesting):
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5955472/