Help! Stuck in penmubra requiem

[Player]

Spoiler below!

There are those two huge air vents on the wall one next to the ketchup machine and one opposite to that one, if I remember correctly, the one next to ketchup machine is steaming. So there's no need to use the bridge just yet.

Edit: And now that I think about it, it could be easier to just lift the ketchup on the platform and do the jumping with out having to hold on it.

Edit2: Image attached, I hope it visualizes at least a bit what I mean. (I used the vent opposite to the one on the image.)