Refactor ExecServer filesystem split between local and remote (#15232)

For each feature we have:
1. Trait exposed on environment
2. **Local Implementation** of the trait
3. Remote implementation that uses the client to proxy via network
4. Handler implementation that handles PRC requests and calls into
**Local Implementation**

codex-rs/app-server/src/fs_api.rs

@@ -34,7 +34,7 @@ pub(crate) struct FsApi {
 impl Default for FsApi {
     fn default() -> Self {
         Self {
-            file_system: Arc::new(Environment::default().get_filesystem()),
+            file_system: Environment::default().get_filesystem(),
         }
     }
 }