Hey, I appreciate the feedback. As soon as I started the tear-down process on the mower, I decided to try and break the internals of the engine loose by hand. I removed the recoil assembly and I noticed the large nut holding everything together. I added some oil, spun the motor around as fast as I could with my ratchet handle to get some oil circulating and it's alive again! It was definitely out of oil and it was definitely locked up but I think I dodged a bullet. The only oil I had was some heavy 10W-40 so I am going to have to swap that out to something lighter but all is good (for now). I'll just keep mowing with it until it gives up.
Thanks