chore(build): Update workflow to leverage updates to latest GH and Docker tags

[paul1r]

What this PR does / why we need it:
Restores the automatic setting of the latest tag for both GitHub and DockerHub images.

Which issue(s) this PR fixes:
Relates to grafana/loki-release#206

Special notes for your reviewer:

Checklist

• Reviewed the CONTRIBUTING.md guide (required)
• Documentation added
• Tests updated
• Title matches the required conventional commits format, see here
  • Note that Promtail is considered to be feature complete, and future development for logs collection will be in Grafana Alloy. As such, feat PRs are unlikely to be accepted unless a case can be made for the feature actually being a bug fix to existing behavior.
• Changes that require user attention or interaction to upgrade are documented in docs/sources/setup/upgrade/_index.md
• If the change is deprecating or removing a configuration option, update the deprecated-config.yaml and deleted-config.yaml files respectively in the tools/deprecated-config-checker directory. Example PR

[trevorwhitney]

I think we're missing the bump to the lib version