yes, in the tools I use, each (sub)agent will also load the same files (automatically, root is always loaded, a nested AGENTS.md is read if the dir or a peer file is touched)
yes, they are useful, mainly in that they shorten the context gathering phase and can call out gotchyas, keep it minimal
yes, they are useful, mainly in that they shorten the context gathering phase and can call out gotchyas, keep it minimal