Migrate NodeCG types from `nodecg-types` to the new NodeCG v2 official ones

[hlxid]

Description

With NodeCG v1 there were somewhat official typings in the repository. These were used at the beginning of nodecg-io. In further progression, these were separated out from the official nodecg package into our unofficial nodecg-types package. See #239 for more information about nodecg-types.

With the newly released NodeCG v2 there is a official typings package now called @nodecg/types. We should abandon our custom types package and move to this package for nodecg-io and all samples.