Will Botox trigger inflammation and cause hair loss?

Hello, I have recently lost hair as a side effect from the covid Pfizer injection. I have seen an immunologist and vaccine specialist to be diagnosed with traction Alopecia triggered from the vaccine and inflammation. It is supposedly temporary and will stop itself within a few months. I have held off getting my Botox because I am unsure if Botox triggers inflammation or has the potential to trigger the bodies inflammation response. Thank you