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.
https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/how-to-improve-clay-soil.htm
https://www.gardeningknowhow.com/lawn-care/specific/zoysia/no-fuss-lawns-with-zoysia-grass.htm