I would stop by a specialized native plant nursery to see which plants/shrubs would be perfect for the run. 

Follow along with the video below to see how to install our site as a web app on your home screen.
Note: This feature may not be available in some browsers.
I would recommend adding grass mats they are square mats that you put down water and grass grows and they're not crazy expensive
Check this out at Amazon.com
Grotrax Biodegradable Grass Seed Mat, Year Round Green - 50 Sq Ft Quick Fix Roll - All in One Growing Solution for Lawns, Dog Patches and Shade - Just Roll Water & Grow -Not Fake or Artificial Grass https://www.amazon.com/dp/B07DD21X3N/ref=cm_sw_r_other_apa_i_RmQvFbJGZF24Y
I use it all the time has never hurt any of my animalsI would definitely not use this. What is IN this stuff? Micro fertilizer and biodegradable fabric? I wouldn't have this around any animal.
I use it all the time has never hurt any of my animals