It can really depend on your climate, the type of sand you can get, and how much sifting of poops you want to do. Deep litter is the way to go in a run IMO.
Here's recent discussion on NOT using sand, opinions from both camps:
https://www.backyardchickens.com/threads/reasons-not-to-use-sand-in-a-chicken-coop-or-run.1203309/
And more sand threads:
https://www.backyardchickens.com/search/9273422/?q=sand+in+runs&t=post&o=relevance&c[title_only]=1
My 'Sand' Rant:
I learned a
lot about sand while making my own concrete mixes for sculpture years ago; I used different cements, different sands, different admixes.
All the colloquial and common names for sand(river, construction, play, blahblahblah) are worthless, there's no standards, you've got to look at it
very closely to know what you're getting. Made a
huge difference in my concrete mixes, so I had to study it, and also applies when using for chickens.