You should be okay. I've found a couple of studies that have looked at groups of patients in the hundreds, with no worsening of hearing loss (and presumably, no worsening of tinnitus) [1][2]. Caveat is that both studies were done in kids, since they get more ear infections in general. Also, "topical ear drop medications containing gentamycin or neomycin do not appear to be ototoxic in humans unless the tympanic membrane (ear drum) is perforated" [3].
[1]https://pubmed.ncbi.nlm.nih.gov/16890085/