Updating the with-vite example!

Closes TURBO-1716

Things to pay attention to:

- [x] Is tasking correct? Are all tasks successful out-of-the-box? Do I
hit cache when I'm expecting?
- [x] If I add an unused variable in a workspace, do I see a warning in
both my editor and when I run turbo lint?
- [x] Does auto-importing work across packages?
- [x] Anything else wonky in your editor?
- [x] Do I get proper hot-reloading in turbo dev?
- [x] Anything else that may come up!