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>Parasite antibiotics
The sentence is stupid in medical terms, antibiotics (ss) work against bacteria not against parasites.
Well, you have luck because there's one antibiotic-antiparasite called Prodigiosine which works against Spirochaetes like Borrelias, you can isolate Prodigiosine from Serratia marcenses which they can be grow using bread crumb, later try to isolate them again using Petri dishes with peptone-agar.
I think Prodigiosine can be bought easily because it works as a red dye too.
If you are searching about fucking with ticks, the only compound I can only think that might work is Permetrine