On Augmentin - Need help, past C.glabrata now E.coli

Got a Yeast infection for first time in January (Candida glabrata)

I took Terconazole twice because it didn’t go away first time. After - tested negative for yeast, BV, Mycoplasma, and Ureaplasma.

Burning and itching returned, repeat testing was negative, but dr did an and culture showed heavy E. coli growth.

Prescribed Augmentin for 7 days, and I’m currently on day 3.

Should I be taking a probiotic with Augmentin? During? Or After? nervous about getting a Yeast infection again!

Has anyone successfully treated vaginal E. coli? Is this considered AV? I’d appreciate any recommendations on which probiotic I should take and how long I should do it for? Thank you so much!