Migrate react-amplitude to amplitude-typescript

[Vadorequest]

Is your feature request related to a problem? Please describe.

react-amplitude is not supported anymore. Use official amplitude ts https://github.com/amplitude/Amplitude-TypeScript/blob/main/examples/browser/next-app/pages/index.tsx

See #202 (comment)

[Vadorequest]

See #373

I doubt we'll ever migrate from react-amplitude, if we need to change it it'd rather be to use another provider.