Add integrations to our publish pipeline

[AbhiPrasad]

https://github.com/braintrustdata/braintrust-sdk-javascript/tree/main/integrations

Right now we can only automatically release braintrust via GitHub actions. Let's explore how we can expand this to release the rest of our integrations as well.

Ideally we can just switch to https://github.com/changesets/changesets to make this easier in the repo.