The below picture shows the current position of the vent (the white area over the sink). The blue patch above the toilet is a small window.
The plan is to relocate the bath tub and position it along the wall so it will cover the vent. The new layout is in the second picture. The glass between toilet and tub is optional.
I am trying to understand where I should vent this duct. Should I do it on the ceiling or completely move it on the opposite wall? I don't know if I can try to re route it in the vertical wall, that will add some direction changes.