Personally, as someone who has been to hq, it depends on whether you prefer to deal with students or adults , and whether you prefer office life or teaching. I did a 3 year hq stint and hated it - some branches can be very toxic, long hours, little work life balance and although I got Bs every year in HQ, don't think my career prospects improved much at all after. There is enhanced posting for hq officers so I guess there's a higher chance you can get posted out as a KP or ST (which I did, posted out as KP)
In retrospect, I should have just gone to another school and gotten internally groomed and promoted to a KP. It's more about plant yourself where you will bloom, honestly. Look for a high needs school where you can showcase your capability.