What was found
INFLIGHT WITH THE ENGINE BLEED ON AND LOW POWER SETTING WE SMELLED A FAINT BURNING SMELL. UPON LANDING AND SWAPPING TO THE APU BLEED, A LOUD PITCH WINE WAS NOTED, THE COCKPIT GOT REALLY HOT, THE PACK OVERTEMP EICAS MESSAGE ILLUMINATED AND A STRONG SMOKE SMELL WAS NOTED IN THE COCKPIT. THE AIRPLANE WAS SHUTDOWN AND NO VISIBLE SMOKE WAS NOTED THE THE AIRCRAFT. TROUBLE SHOT TO A SEIZED ACM. REMOVED AND REPLACED ACM, IAW CL350 AMM 21-52-13-000 (400)-801. COMPLETED A LEAK CHECK OF THE ACM, IAW CL350 AMM 36-11-00-790-801, NO LEAKS WERE NOTED. PERFORMED OPERATIONS CHECK OF THE AIR CONDITIONING SYSTEM, IAW CL350 AMM 21-52-00-710-801, NO DEFECTS NOTED.