fix(web): adapt build tooling

Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-openagent)

Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>

packages/web/eslint.config.mjs

@@ -3,6 +3,17 @@ import nextPlugin from "@next/eslint-plugin-next"
 import prettier from "eslint-config-prettier/flat"
 import tseslint from "typescript-eslint"
 
+const nextCoreWebVitalsConfig = {
+  name: "next/core-web-vitals",
+  plugins: {
+    "@next/next": nextPlugin,
+  },
+  rules: {
+    ...nextPlugin.configs.recommended.rules,
+    ...nextPlugin.configs["core-web-vitals"].rules,
+  },
+}
+
 export default [
   {
     ignores: [".next/**", "out/**", "build/**", "next-env.d.ts"],
@@ -18,7 +29,7 @@ export default [
       },
     },
   },
-  nextPlugin.flatConfig.coreWebVitals,
+  nextCoreWebVitalsConfig,
   ...tseslint.configs.recommended,
   prettier,
   {