Adding sink drain next to washer

[aads]

I am new to plumbing and I want to add a sink next to the washer. Would like to know what would be the right way to add a drain and vent for the sink. How about venting with AAV system? I am in Florida. The sink would be on the right side of the standpipe.

 

[aads]

Would it be ok to add the sink drain in the went pipe, just above where the washer tee is?