I have a 3" vertical wet vent stack. It has the toilet connection at the bottom then the tub, then lav, all these are using the stack as a drain and vent. The kitchen sink is also connected to the stack for drain only, it has its own vent. My question is can I run a 2" drain line from the washing machine into the stack above the others as a drain? I will vent the washer with its own vent. Will that create a problem in the wet stack?