1994 Mazda 626 when unlock doors alarm goes off

I've had the same problem with my 1993 Mazda 626 for 3+ years. The alarm was fine until one day I went to unlock the door with the key and the alarm went off. That's opposite of what it's suppose to do; unlocking the car should turn the alarm off. Ever since that one day, unlocking the door sets off the alarm every time.

I never was able to figure that out. I've had to keep the car unlocked this whole time. If I did have to lock it, I'd just quickly pop the hood then pull the negative battery cable off the terminal (keep a wrench handy).

I'm not aware of how the alarm could be completely disabled.

I couldn't find much about the problem and it wasn't worth it to me to get fixed. I did find mention of something in the door lock being messed up. I read something about putting graphite on a key and putting it in the lock to coat it or something? I'm not sure how much $$ or easy it is to replace the whole lock.

I have 1998 Mazda 626 with what sounds to be a similar problem. Never did get it fixed, but found a few workarounds that work for me, hope one will help with our issue.
1st it only happens on my car when I use the power lock button with car turned off. So I manually lock the door or use power locks with car still turned on (this seems to not turn the alarm system on.
Or
After getting into car I put key in the ignition and turn the key so car is on (don't need to turn it over) if I do it fast enough the alarm wont go off (I have like 4 seconds before the alarm sounds)