chore(go): audit providers copilot droid augment cline

Move the four providers onto managed_runtime.go and shell_command.go;
keep the Auggie wrappers, Cline metadata wrappers, and the Copilot and
Droid precondition handling provider-local.

Claude-Session: https://claude.ai/code/session_01Agoc9bRVE9KL7mmWtey9Vq

cmd/elydora/plugins/droid_config.go

@@ -239,7 +239,7 @@ func droidAdditionsFor(
 	document, target *droidDocument,
 	groups map[string]map[string]any,
 ) map[string]map[string]any {
-	if sameDroidPath(document.filePath, target.filePath) {
+	if sameManagedPath(document.filePath, target.filePath) {
 		return groups
 	}
 	return map[string]map[string]any{}