Use proper clipboard writing method

bun.lock

@@ -8,6 +8,7 @@
         "@fontsource/lexend": "5.2.11",
         "@tailwindcss/vite": "4.1.18",
         "@tauri-apps/api": "2.10.1",
+        "@tauri-apps/plugin-clipboard-manager": "2.3.2",
         "react": "19.2.4",
         "react-dom": "19.2.4",
         "tailwindcss": "4.1.18",
@@ -267,6 +268,8 @@
 
     "@tauri-apps/cli-win32-x64-msvc": ["@tauri-apps/cli-win32-x64-msvc@2.10.0", "", { "os": "win32", "cpu": "x64" }, "sha512-NTpyQxkpzGmU6ceWBTY2xRIEaS0ZLbVx1HE1zTA3TY/pV3+cPoPPOs+7YScr4IMzXMtOw7tLw5LEXo5oIG3qaQ=="],
 
+    "@tauri-apps/plugin-clipboard-manager": ["@tauri-apps/plugin-clipboard-manager@2.3.2", "", { "dependencies": { "@tauri-apps/api": "^2.8.0" } }, "sha512-CUlb5Hqi2oZbcZf4VUyUH53XWPPdtpw43EUpCza5HWZJwxEoDowFzNUDt1tRUXA8Uq+XPn17Ysfptip33sG4eQ=="],
+
     "@types/babel__core": ["@types/babel__core@7.20.5", "", { "dependencies": { "@babel/parser": "^7.20.7", "@babel/types": "^7.20.7", "@types/babel__generator": "*", "@types/babel__template": "*", "@types/babel__traverse": "*" } }, "sha512-qoQprZvz5wQFJwMDqeseRXWv3rqMvhgpbXFfVyWhbx9X47POIA6i/+dXefEmZKoAgOaTdaIgNSMqMIU61yRyzA=="],
 
     "@types/babel__generator": ["@types/babel__generator@7.27.0", "", { "dependencies": { "@babel/types": "^7.0.0" } }, "sha512-ufFd2Xi92OAVPYsy+P4n7/U7e68fex0+Ee8gSG9KX7eo084CWiQ4sdxktvdl0bOPupXtVJPY19zk6EwWqUQ8lg=="],