Can general anesthesia for a BA surgery trigger a cluster headache?

Good Morning, I am a 24 yrs old healthy patient that will have her BA surgery on June 5th. My main concern regards the general anesthesia as I suffer from cluster headache: I am afraid that the anesthetic drug may be triggering for my CH. I am afraid of having some permanent brain damage or something like that, due to the lowered oxygen level in my brain when CH occours, combined with the anaesthaesia. I know my fear may be irrational but I am feeling very anxious about that. My best regards