feat: init public notes

package.json

@@ -19,10 +19,14 @@
     "@octokit/core": "^7.0.6",
     "@octokit/rest": "^22.0.1",
     "@tailwindcss/postcss": "^4.1.16",
+    "@tanstack/vue-query": "^5.92.9",
     "@toycode/markdown-it-class": "^1.2.4",
+    "@ts-rest/core": "^3.52.1",
+    "@ts-rest/vue-query": "^3.52.1",
     "@vscode/markdown-it-katex": "^1.1.2",
     "@vueuse/core": "^13.6.0",
     "@vueuse/router": "^13.6.0",
+    "arktype": "^2.1.29",
     "date-fns": "^4.1.0",
     "events": "^3.3.0",
     "font-color-contrast": "^11.1.0",