Some option to go with wall

Or

These are all great!!! Thank you so much!!

I like the last option by Celery Visualization. An enclosed vestibule will create a barrier between the outdoors and the house. I would recommend rethinking your plan overall though. It's hard to read the room titles but entering into your kitchen might not be the best idea. Also, the arrangement of rooms around the central kitchen seems rather stiff.

Hi! Thank you so much for your insight. The playroom is actually going to be a “Florida room” with large sliders all the way across to bring in natural light. We just decided to use some of the screened in porch area for extra entry way since we will never be sitting out front and the existing porch area is very large. I agree with you, I definitely don’t want to enter into the kitchen. What do you mean by “stiff”?