I am planning on adding a wet bar sink (with garbage disposal and dishwasher) during my basement finishing project. The location of the wet bar will be on the same wall as the stubbed bathroom group (sink, toilet, shower). I would like to connect the wet bar sink drain to the bathroom sink drain and also connect the wet bar sink vent to the bathroom group vent. Could someone look at the attached drawing and tell me if there are any issues with my plan. I plan on sloping the wet bar sink drain toward the bathroom sink drain 1/4" every foot and just putting a slight slope on the wet bar sink vent toward the drain it serves. The red lines indicate the added wet bar sink drain and vent and the black lines are the existing stubbed bathroom group drains and vents. Thanks for the help.

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