Oh, damn, I'm so sorry!
I've never had Lyme. But last year I got another tick-borne disease, anaplasmosis. It wrecked my judgment very badly (I couldn't figure out how to work my digital thermometer that I'd had for years). Thus, I waited too long for medical treatment and ended up hospitalized with sepsis.
While I was physically quite sick, and had the worst headache of my life (think: railroad spikes into the skull), the worst symptoms were the loss of cognitive functioning. I was doing occasional work as a forensic psychologist, and a month after I got sick, I found myself completely unable to finish a report that was due, and very aware that I was utterly unable to get on the witness stand and testify. (Not because I couldn't do that normally - it was my career. Because I couldn't concentrate and my judgment was impaired.)
It DID get better! It took months.
But that was my disease, and I'm hoping it's not yours.
My advice? Take the antibiotics, all of them, and get more if the symptoms haven't disappeared. The treatment for leftover Lyme disease (many people seem to have an extended set of symptoms, kind of like Covid, after they've "recovered.") is long-term antibiotics, and you don't want that if it's at all possible to help it. So take the meds and eat yogurt or other probiotic food, especially right after you finish the meds. The accepted wisdom in the medical community is that this doesn't exist (the long-term symptoms). So be sure it's knocked out now, so you don't have to fight with doctors later.
I wasn't aware of or thinking about any alternative treatments when I was sick, but it seems like a good thing to investigate. Be sure to check for drug interactions with the herbal remedies. drugs.com has a great tool for interactions, and includes many supplements; it might help. You sure don't want to be taking anything that messes with the actions of the doxycycline, or whatever you're taking.
My heart goes out to you! Wishes and prayers for rapid healing! (Most people do.)