I would prefer that shoes be restricted to designs that don't allow for higher efficiency than barefoot running, but sport rules tend to lag technology advances.
1. https://en.wikipedia.org/wiki/Abebe_Bikila
2. https://en.wikipedia.org/wiki/Nike_Vaporfly_and_Tokyo_2020_O...
World Athletics defines the rules for shoes in most running events. They're limited to a stack height of 20mm or 40mm depending on the event (along with certain other limits).
https://worldathletics.org/about-iaaf/documents/book-of-rule...