Sync extension debuggers to remote host (#33876)

Closes #33835

Release Notes:

- Fixed debugger extensions not working in remote projects.

crates/extension/src/extension_manifest.rs

@@ -132,6 +132,16 @@ impl ExtensionManifest {
     }
 }
 
+pub fn build_debug_adapter_schema_path(
+    adapter_name: &Arc<str>,
+    meta: &DebugAdapterManifestEntry,
+) -> PathBuf {
+    meta.schema_path.clone().unwrap_or_else(|| {
+        Path::new("debug_adapter_schemas")
+            .join(Path::new(adapter_name.as_ref()).with_extension("json"))
+    })
+}
+
 /// A capability for an extension.
 #[derive(Debug, PartialEq, Eq, Clone, Serialize, Deserialize)]
 #[serde(tag = "kind")]
@@ -320,6 +330,29 @@ mod tests {
         }
     }
 
+    #[test]
+    fn test_build_adapter_schema_path_with_schema_path() {
+        let adapter_name = Arc::from("my_adapter");
+        let entry = DebugAdapterManifestEntry {
+            schema_path: Some(PathBuf::from("foo/bar")),
+        };
+
+        let path = build_debug_adapter_schema_path(&adapter_name, &entry);
+        assert_eq!(path, PathBuf::from("foo/bar"));
+    }
+
+    #[test]
+    fn test_build_adapter_schema_path_without_schema_path() {
+        let adapter_name = Arc::from("my_adapter");
+        let entry = DebugAdapterManifestEntry { schema_path: None };
+
+        let path = build_debug_adapter_schema_path(&adapter_name, &entry);
+        assert_eq!(
+            path,
+            PathBuf::from("debug_adapter_schemas").join("my_adapter.json")
+        );
+    }
+
     #[test]
     fn test_allow_exact_match() {
         let manifest = ExtensionManifest {