chore(examples): updated `react-multi-carousel` to TS (#37930)
### Example
- Moved to typescript
- Making use of the Image API (old example only use image tag)
### Dependencies
- updated deps to latest
- removed unused deps, just to focus on the current example and not
other ones
```
@material-ui/core, @material-ui/icons, jss, mobile-detect, react-jss
```
### Deploy
[Example deploy](https://rmcexample-86mr9qpaa-falsepopsky.vercel.app/)
## Documentation / Examples
- [x] Make sure the linting passes by running `pnpm lint`
- [x] The examples guidelines are followed from [our contributing
doc](https://github.com/vercel/next.js/blob/canary/contributing.md#adding-examples)
Co-authored-by: Balázs Orbán <info@balazsorban.com>
