ci: add eslint with prettier, with ts and mdx support

.eslintrc.json

@@ -1,3 +1,29 @@
 {
-  "extends": "next/core-web-vitals"
+  "plugins": [
+    "@typescript-eslint"
+  ],
+  "extends": [
+    "plugin:@typescript-eslint/recommended",
+    "next/core-web-vitals",
+    "plugin:mdx/recommended",
+    "plugin:prettier/recommended"
+  ],
+  "parser": "@typescript-eslint/parser",
+  "parserOptions": {
+    "ecmaFeatures": {
+      "jsx": true
+    },
+    "sourceType": "module",
+    "project": "tsconfig.json"
+  },
+  "settings": {
+    "mdx/code-blocks": true
+  },
+  "overrides": [
+    {
+      "files": ["*.mdx"],
+      "extends": "plugin:mdx/recommended"
+    }
+  ]
+
 }