app: refactor server management backend (#13813)

.zed/settings.json

@@ -0,0 +1,9 @@
+{
+  "format_on_save": "on",
+  "formatter": {
+    "external": {
+      "command": "bunx",
+      "arguments": ["prettier", "--stdin-filepath", "{buffer_path}"]
+    }
+  }
+}