[JS][Release] Remove JS related code from our release scripts

[raulcd]

Describe the enhancement requested

As we have moved our JavaScript implementation to https://github.com/apache/arrow-js we have to remove the release related scripts from this repository.

Our release scripts: https://github.com/apache/arrow/tree/main/dev/release

We also need to update our release document: https://github.com/apache/arrow/blob/main/docs/source/developers/release.rst

Similar to:

• [Go][Release] Remove Go related codes from our release scripts #43878

Component(s)

Release, JavaScript

[kou]

Issue resolved by pull request 46604
#46604