Plumbing energy sink into washer without any vent

Plumbing energy sink into washer without any vent
And so I currently have actually a automatic washer who has its hose operating into a 2″ standpipe that is taken from my cellar flooring. A humidifier hose and AC hose additionally squeezes into that standpipe and it is pretty tight and janky hunting. I am wanting to clean every thing up with proper piping, put in a washing field as well as a computer program sink.
There’s no vent or extra plumbing work nearby that is easy to get at.
The standpipe is in the remaining, machine in the centre therefore the sink will be in the right. Can I have single PVC pipeline that links the sink towards the machine that then links towards the standpipe? Do i want a technical vent foriegn wives for it to focus? All of it appeared to work fine prior to but i know it had beenn’t to rule (Toronto). What’s the way that is best in order to connect the humidifier and AC to your same pipeline? Do I need to have specific connections piped to your standpipe?
Here is the standpipe on the left with humidifier and washer draining into it:
Diagram associated with the setup that is current […]