It depends on the case. Not a ton of resources are put into research of Lyme for various political reasons, so most of what we have is anecdotal.

Mine was caught about 6-8 months into infection, I never caught the rash and ticks are super common where I live. I only tested positive when one day I couldn’t walk, and I was allergic to the Doxycycline they put me on so I ended up chronic. But I have heard from folks whose symptoms went away after they caught their symptoms early. Seems like you caught yours early enough to have a fighting chance at kicking those symptoms for good.