Add ESLint plugin to Vite configuration for improved linting support

apps/frontend/vite.config.ts

@@ -2,8 +2,17 @@ import { reactRouter } from '@react-router/dev/vite';
 import tailwindcss from '@tailwindcss/vite';
 import { defineConfig } from 'vite';
 import tsconfigPaths from 'vite-tsconfig-paths';
+// @ts-expect-error vite-plugin-eslint has no types
+import eslint from 'vite-plugin-eslint';
 
 export default defineConfig({
-  plugins: [tailwindcss(), reactRouter(), tsconfigPaths()],
+  plugins: [
+    tailwindcss(),
+    reactRouter(),
+    tsconfigPaths(),
+    eslint({
+      failOnError: false,
+    }),
+  ],
   appType: 'spa',
 });