ASRS 1964493

I experienced a Left Pitot heat failure. Relatively new plane for me and I believe I underestimated the situation I was in. I so no other issues at the time so I did not take any corrective action.....And at the time I'm not sure I knew any corrective actions to take. A short time later the Pitot froze up and my airspeed dropped to zero. This caused my autopilot to pitch me down. I disengaged the autopilot and notified ATC of my situation. I quickly found myself off course and altitude low while trying to manage the plane and my airspeed. I have never been in this situation, complete IMC with icing and no primary airspeed indicator. I do believe my steam guage was working but at the time I was focused on using ground speed off the GPS not thinking of the backup. I was getting multiple different CAS messages that I was unfamiliar with and then also lost Cabin pressure at about 14,000 ft. so my anxiety given my situation was elevated. ATC gave me some priority which was very nice of them. I don't believe I deviated a great deal off course but ATC was aware of my deviation and assisting me in getting back on track. I did my best to correct the plane back to proper altitude and course based on my GPS position. Eventually I broke free of the clouds during my descent and could immediately see ZZZ Runway and landed uneventfully. I have since talked with multiple pilots to discover corrective actions that I could have taken in this situation and overall it has been very educational.