Ok I assume(dangerous thing to do) that flasher means turn signals work
You say you have power going to the brake light switch, when you push on the
peddale do you have power coming out of the switch?  If no, bad switch, if
yes, then I would suspect the turn signal switch

Whitelightning

They're brake lights, except when they don't work then they're broke lights
but they are never break lights.

The Brake Light Swtich on the pedal goes through the Turn Signal Switch,
then is fed to the brake lights. As a test, apply the brakes and move the
turn signal stalk a little bit to see if you can find a place where the
brake lights come on. If you can do this, the turn signal switch is bad. If
you still can't get the brake lights to come on then the problem can either
be the turn signal switch or a brokne wire between the brake pedal and the
turn signal switch.

You said the Turn Signals work, is that right?