The intersections in question is where Government St splits off from Douglas St. (Victoria, BC, Canada) I have to use this intersection every day on my way to work and have witnessed several near-misses when drivers take unexpected actions. I have built a diagram (below) of what seems to be the most popular doctrine regarding the intersection:
I believe that the relevant regulation is:
British Columbia Regulation 26/58 42.02 (Motor Vehicle Act Regulations: Rules for use of high occupancy lanes)
(2)A driver of a vehicle that is not a high occupancy vehicle must not use a high occupancy vehicle lane except if necessary
(a)to make a right turn from the lane, at the first intersection where the turn is permitted, to access a highway intersecting the lane or premises adjacent to the lane,
(b)to make a right turn from an intersecting highway or premises adjacent to the lane, at the first intersection where the turn is permitted, to access the highway in which the lane is situated, or
(c)to merge into an adjacent lane for the purposes of paragraph (b).
It probably needs to be linked to other regulations. I suspect there's one that says you need to turn right from the closest lane unless marked, which I bet this location isn't.