Enable releasing through OIDC

[szegedi]

What does this PR do?:

• Updates release.yml so it works well with OIDC release method.

Motivation:
Npm no longer allows releasing with broad tokens. It still allows releasing with granular tokens, but their lifetime is limited now. This all makes releasing while authenticating with tokens painful. OIDC provides a much better way to release the packages, and will be the preferred way going forward.

OIDC needs to be enabled for this repo in the Npm settings – I just did that. After that, publishing is rather simple, it no longer requires a token, but rather depends on GitHub proving to Npm that the release request came from a GH action as configured (we need to specify the organization, repo name, filename with the release action, and the release environment in the NPM configuration.)

Additional Notes:
Node.js 24 is used explicitly for releasing so we have a recent version of npm CLI. The token is removed from the release, the only thing required for OIDC to work from the GH side is a write permission to id-token in the action.

Jira: PROF-12794

[github-actions]

Overall package size

Self size: 37 MB
Deduped: 37 MB
No deduping: 37 MB

Dependency sizes

| name | version | self size | total size | |------|---------|-----------|------------|

_{🤖 This report was automatically generated by heaviest-objects-in-the-universe}