Lyme disease and bacteria are always temporary. The long term disease/syndrome many people attribute to it is something else similar to long COVID and still debated.
This is the one area where the CDC actually does have accurate advice, Lyme is excellent at hiding itself from your immune system and tends to burrow into joint tissue where antibiotics have difficulty reaching.
DON'T assume the disease is temporary, as the bacteria is well-known to cause lasting nerve damage even after it dies off completely. I have more than one friend who wasn't as lucky as me and still suffers with symptoms to this day.
Having done the research myself, it seems to be biofilms that the bacteria create leading to a "dormant" yet still metabolically active state that releases inflammatory byproducts throughout the body.
The recommended course of action seems to be disulfiram to bust those biofilms + antibiotics to finally kill it all off.
In my understanding (from some years back when I was researching this myself), Lyme takes multiple forms, and in some phase in their life cycle are able to hide inside red blood cells. Antibiotics work only for some of the forms.