Need help - eye area swollen, discharge

I have taken my dog here to the vet three times in the past month. It started with an eye infection in her left eye. Prescribed Tobramycin. 2-3 weeks later, this bump started to grow, eventually becoming red and causing discharge. Went to the vet again. Told it is a skin infection. Given 12 day supply of Clavamox (1 pill per day - 62.5mg). I’ve had her on it five days. The bump is getting worse and more inflamed. I took her to a new vet. She prescribed more Clavamox (2 pills - 62.5mg each). Waiting on online pharmacy to deliver an anti-inflammatory gel for the eye. She also told me to use Neomycin and Polymyxin B sulfates and Gramicidin drops, which I am. It’s been a little over 24 hours after this last vet appointment. My dog isn’t getting better, and the antibiotics seem to not help. Told me to come back after a week for a biopsy like procedure (possibly using the wrong term) where they will sedate her. Please help me. I don’t want her to be in pain. I can’t afford to keep paying hundreds of dollars per visit to get nowhere. My dog is 12, 13.5lbs, and area is tender to touch for her. She is not scratching it. She is eating per usual.

Hello - what a lot of antibiotics have been put into this eye!  Sometimes when eye-drops fail to work, they are not getting into the eye properly.  However, it strikes me that you might be applying the drops perfectly and the antibiotic plan isn't appropriate. What if there is not an infection here - could other things be causing this problem?  Or perhaps there is an "infection" but it is coming about as a result of something else that needs to be treated (or else it simply recurs) e.g. a bacteria-covered grass seed in the conjunctiva.  Applying increasingly strong antibiotics where the first hasn't worked, will only work in the event of a particularly nasty bacterial infection - and it is considered inappropriate in the UK to use the stronger antibiotics until the area has been swabbed and cultured and such bacteria identified.  I do not know this dog's case but confess to being surprised that repeated antibiotics have been used in this way and that tablets would be used to treat a skin infection.  I am surprised that an investigation to think about the underlying cause is only now being offered.  I wonder whether an opthalmology specialist, or a second opinion from an up-to-date vet who 'likes eyes' (most large practises / areas have one) would be the way forward.