fix: Enabling timeline shows error: useAuth is not a function

🐛 The bug

If I enable the timeline then I get this error:

500 useAuth is not a function

at useAppInit (./composables/useAppInit.ts:8:3)
at setup (./app.js:31:5)
at _sfc_main.setup (./app.js:63:23)
at callWithErrorHandling (./node_modules/.pnpm/@vueruntime-core@3.4.21/node_modules/@vue/runtime-core/dist/runtime-core.cjs.js:195:19)
at setupStatefulComponent (./node_modules/.pnpm/@vue+runtime-core@3.4.21/node_modules/@vue/runtime-core/dist/runtime-core.cjs.js:7554:25)
at setupComponent (./node_modules/.pnpm/@vue+runtime-core@3.4.21/node_modules/@vue/runtime-core/dist/runtime-core.cjs.js:7515:36)
at renderComponentVNode (./node_modules/.pnpm/@vue+server-renderer@3.4.21_vue@3.4.21/node_modules/@vue/server-renderer/dist/server-renderer.cjs.js:623:15)
at Module.ssrRenderComponent (./node_modules/.pnpm/@vue+server-renderer@3.4.21_vue@3.4.21/node_modules/@vue/server-renderer/dist/server-renderer.cjs.js:84:10)
at default (./node_modules/.pnpm/nuxt@3.11.2_@opentelemetry+api@1.8.0_@unocss+reset@0.59.4_floating-vue@5.2.2_unocss@0.59.4_vite@5.2.11/node_modules/nuxt/dist/app/components/nuxt-root.js:86:37)

If I disable the timeline then everything works.

🛠️ To reproduce

https://stackblitz.com/github/martinszeltins/nuxt-error-repro?file=app.vue

🌈 Expected behavior

Either it should always show the error or never show the error. And it is not clear what the error is about or what is the cause.

ℹ️ Additional context

No response

Run the linked StackBlitz reproduction with the timeline enabled and disabled, then inspect composables/useAppInit.ts at line 8 and the setup calls in app.js at lines 31 and 63. The work is done when the timeline behaves consistently without the reported “useAuth is not a function” error.