Hi! I had a new (dry) 2'' to-be vent added today on the right that is connected to the 3'' toilet drain, and I would like to use it to vent a vanity sink on the perpendicular wall (badly painted in red in the pic), a laundry sink on the opposite side of the wall, and a washing machine off frame on the left - and also do the drains for all of these down that pipe in the middle which will be 2'' as well. The existing pipe going horizontally is too high for the sink drains, so I will have to either lower it or add another lower horizontal pipe.
What would be the best configuration here? Thanks!
(Original thread that prompted me to add the new vent is here: https://terrylove.com/forums/index.php?threads/help-with-venting-for-toilet-sink-washer.100710/)