You got the right stuff.
We haven't had one in years but our vet would clean it out and have us use an ophthalmic antibiotic ointment. It had a long nozzle that could be inserted in the wound. Besides killing the bad bugs it delayed healing so that the abscess healed from the inside out.
The strange thing is our cats let the doc do anything to them- it's as if they knew he would never hurt them.
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