Question on City Code for Chicago

[Joe Mende]

Hello everyone, it's been a bit since I last asked for help on here but we are finishing up renovating the 2nd unit on a duplex, which will also be the unit we live in for the foreseeable future.  We had a kitchen designed with a peninsula.  We're finishing sanding the drywall tomorrow, then it's time to paint and install cabinets.  Today, someone told my fiance that the space between the door and the peninsula isn't enough space and would be against code.  Does anyone know if this is true? Or more importantly, what the code is?  I'm attaching a picture of the kitchen plans with measurements and hoping someone can help me out.  Thanks in advance!