Just like you can automatically activate Flows in Gearset upon deployment; it would be nice to automatically publish deployments of Experience Bundles. This is especailly true for deploying Experience Bundles to staging/qa orgs but applies also to PROD.

There's an API to do this: /connect/communities/communityId/publish documented https://developer.salesforce.com/docs/atlas.en-us.chatterapi.meta/chatterapi/connect_resources_communities_publish.htm