The washer needs a vent, the lav needs a vent and the other lav needs a vent.
Those three vents can tie together at 42" above the floor.
You need a wye fitting or combo with waste going from vertical to horizontal. A Santee is not allowed in that position.
A washer does a good job of siphoning traps.
That's why they are "never" allowed in a wet vent system.