Cirrus Vision SF50 Pilot reported smoke in cabin during climbout. The pilot diverted and landed safely.

Narrative

After leaving ZZZ at XA:00 on an instrument flight plan; I was vectored and eventually cleared direct ZZZZZ; climb and maintain FL240. As I came through 12000 ft.; I received a ECS (Environmental Control System) Bleed Overheat CAS (Crew Alert System) message. As I was pulling up the electronic checklist; I saw smoke in the cabin. I [requested priority landing] and asked for direct ZZZ1. I was immediately cleared direct ZZZ2. I turned toward ZZZ1 and reduced power to begin a descent. I removed my glasses and put on my oxygen mask; glasses and goggles. I then set up the FMS for direct ZZZ1 and turned on the autopilot. I then selected ECS Disable; defog and temp backup. It took me a few minutes to realize the oxygen mask had pushed out the internal ear phones from my headset and that I needed to select the mask microphone. I made contact with Center and was asked to stop my descent at 5000 which I was unable to do; and then 4000; which I did. I then pulled up the ECS Overheat checklist; selected fresh air with the bleed switch. I then pulled up the smoke removal checklist and selected cabin pressure dump. The other pertinent checklist steps had been performed as memory items. The smoke began clearing when I selected ECS Disable and dissipated as I added fresh air and dumped the pressurization. At 4000 ft.; I proceeded to the airport at a safe power setting; 25% thrust; and landed normally; still wearing the oxygen mask; but not the goggles. I saw no evidence of fire inside or outside the cabin. After landing; the fire crew checked the cabin; baggage and engine and found no evidence of fire.