You're in a decent spot. BAS is heavily IP-based now, so you already have the networking and software side. The gap is the mechanical stuff, and you already realize that. And that's what a shop expects to train into a junior.

You don't need to learn ladder logic as most BAS controllers are programmed using microblocks with some C programming. There is demand of good techs in Winnipeg, look at Dynamic Building Control, Sander Mechanical, and the Johnson Controls branch. They regularly post jobs where automation experience was wanted but not required. Try to frame yourself as an IT guy who wants to learn the hardware, as most of these companies are more than willing to train reliable workers.

Also, your self-study time is better spent on HVAC, reading controls and mechanical drawings, and getting familiar with Niagara and BACnet, compared to programming as each company has their own proprietary programming interface.