chore: add ESLint and Prettier configuration for frontend

src/ParagonPlayground/frontend/.prettierignore

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+dist/
+node_modules/

src/ParagonPlayground/frontend/.prettierrc

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+{
+  "semi": false,
+  "singleQuote": true,
+  "trailingComma": "all",
+  "printWidth": 100,
+  "tabWidth": 2,
+  "arrowParens": "always"
+}

src/ParagonPlayground/frontend/eslint.config.js

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+import js from '@eslint/js'
+import tseslint from 'typescript-eslint'
+import pluginVue from 'eslint-plugin-vue'
+import prettier from 'eslint-config-prettier'
+
+export default tseslint.config(
+  js.configs.recommended,
+  ...tseslint.configs.recommended,
+  ...pluginVue.configs['flat/recommended'],
+  {
+    files: ['*.vue', '**/*.vue'],
+    languageOptions: {
+      parserOptions: {
+        parser: tseslint.parser,
+      },
+    },
+  },
+  prettier,
+  {
+    ignores: ['dist/', 'node_modules/'],
+  },
+)