[Improvement] integrate docker publish workflow in release scripts

### What would you like to be improved?

We could do most jobs in release scripts but need publish docker image manually, It's better to integrate docker publish workflow in release scripts.

### How should we improve?

_No response_

Start by locating the repository's release scripts and existing Docker publish workflow, then trace how releases are currently triggered. Done means the release scripts invoke Docker image publishing without a manual step and the workflow still completes successfully; the issue does not name specific files or tests.

Written by the indexing model from the issue text.