As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
ACFT ARRIVED AT DESTINATION AFTER DROPPING OFF PASSENGERS, PILOTS NOTICED THAT THEY HAD LIMITED BRAKING WHILE TAXI OUT FOR DEPARTURE. ACFT RETURNED TO MX BASE AND BRAKE BLEEDING PROCEDURES WAS ACCOMPLISHED IAW MM 32-40-00-870-801-A. ACFT WAS RETURNED TO SERVICE. FOUND SHUTTLE VALVE STICKING.