That's what I would do too.
The 2 weeks I was at CBBR, I never once seen that gate locked, I don't even think it can lock if I recall correctly. I think it has a card slot in the handle but no latch bolt.
As a 3rd option but I don't know if this is possible. You might be able to walk behind SF and onto the tram road (via the proposed bus entrance and exit) and then walk to the tram entrance.