Framer Motion example skips exit animations

Which project does this relate to?

Router

Describe the bug

Hello! Loving the library so far! 😄

I was trying some of the examples and it seems that Framer Motion exit animations are not playing on the with-framer-motion example. Next.js has this problem as well. One of the workarounds found by the community is this one. I was wondering if the issue in Router could be solved by doing something similar 🤔

Maybe transitioning between pages with AnimatePresence is not worth the hassle? In Next.js there's also this library which intercepts navigations by using a custom Link component and useRouter hook. It plays an animation before commiting the navigation. This method doesn't work when using the browser's back and forwards buttons tho, but maybe that's more of a Next.js limitation

Your Example Website or App

https://stackblitz.com/github/tanstack/router/tree/main/examples/react/with-framer-motion?embed=1&theme=dark&preset=node&file=src/main.tsx

Steps to Reproduce the Bug or Issue

1. From the index route, click on the about link
2. Observe how the index component instantly unmounts, without playing the exit animation

Expected behavior

It should unmount after playing the exit animation

Screenshots or Videos

https://github.com/user-attachments/assets/d545fca8-e418-4f04-923a-1d6eccbcb077

Platform

N/A

Additional context

No response

Start with the with-framer-motion example at examples/react/with-framer-motion/src/main.tsx and reproduce the transition from the index route to the about route. Trace how navigation unmounts the index component and compare the issue's linked Next.js workaround. Done means the exit animation plays before the component unmounts when changing routes.