Adding Utility Sink

[tameanaka]

Please see attached photo. Can I add a tee into the vent pipe to add a utility sink. This is highlighted in purple. A bathroom will be located on the otherside of the "wall" when finished.

Thanks

 

[Terry]

The pipe with the purple is either the toilet vent or the shower vent or used for both.
You can't run a laundry sink down those vents. The best bet would be to run from the lav drain on the right. The laundry tray will need a vent on it's trap arm.