feat(router): add GSAP page transition animations

package-lock.json

@@ -12,6 +12,7 @@
         "@uiw/react-codemirror": "^4.25.3",
         "axios": "^1.13.2",
         "chart.js": "^4.5.1",
+        "gsap": "^3.14.2",
         "i18next": "^25.7.1",
         "react": "^19.2.1",
         "react-chartjs-2": "^5.3.1",
@@ -3194,6 +3195,12 @@
         "url": "https://github.com/sponsors/ljharb"
       }
     },
+    "node_modules/gsap": {
+      "version": "3.14.2",
+      "resolved": "https://registry.npmjs.org/gsap/-/gsap-3.14.2.tgz",
+      "integrity": "sha512-P8/mMxVLU7o4+55+1TCnQrPmgjPKnwkzkXOK1asnR9Jg2lna4tEY5qBJjMmAaOBDDZWtlRjBXjLa0w53G/uBLA==",
+      "license": "Standard 'no charge' license: https://gsap.com/standard-license."
+    },
     "node_modules/has-flag": {
       "version": "4.0.0",
       "dev": true,