Use proper clipboard writing method

src-tauri/capabilities/default.json

@@ -2,8 +2,11 @@
   "$schema": "../gen/schemas/desktop-schema.json",
   "identifier": "default",
   "description": "Capability for the main window",
-  "windows": ["main"],
+  "windows": [
+    "main"
+  ],
   "permissions": [
-    "core:default"
+    "core:default",
+    "clipboard-manager:default"
   ]
-}
+}