Q.wet, shadeless, clay, high traffic lawn
Apartment common area 1700 sq ft, 4-5 dogs frequently, is wet due to drainage area for driveway, minimal sun with shade of 3 story building. Trying to grow grass, mostly dirt with minimal grass now. Can you recommend type of grass or other ground cover?
Zoysia grass may be a good choice for you.
You are working with multiple issues, but you can improve clay soil.
Here is a few links for you.