ci: Adjust release process to centralized workflows#2216

Luca Forstner (lforst) wants to merge 2 commits into

mainbraintrustdata/braintrust-sdk-javascript:mainfrom

lforst/compare-js-release-workflowbraintrustdata/braintrust-sdk-javascript:lforst/compare-js-release-workflowCopy head branch name to clipboard