My 1997 Pontiac grand am makes a clicking noise when trying to be started, what do I do?

I recently have taken my car to
oreillys and had my battery, alternator
and even the starter to get tested to
see if I could find a solution. The tests
performed appeared to say that all
three parts were in good condition
and working properly. I seem to think
that the anti theft system is draining
the battery, after the theft system
comes on and blinks, you have to
leave the car on for 10 minutes or
until the theft system light doesn’t
blink and after that, I tried starting my
car and that’s when the rapid clicking
happened, I know this is usually a
sign of a dead battery, but it seems
that this battery won’t hold charge
long at all. Any help?