chore(GitHub Action): adding container workflow

[axel7083]

Description

I am using the Dockerfile from this repository, however it might be nice to have it up to date and officially published.

Adding a simple workflow to build & push to the GitHub registry. I tried it on my fork (https://github.com/axel7083/chroma-mcp/pkgs/container/chroma-mcp)

it allows to start the MCP Server easily with a container engine

$: (podman | docker) run -it  ghcr.io/chroma-core/chroma-mcp:{tag}
[09/12/25 08:47:51] INFO     Anonymized telemetry enabled. See                     https://docs.trychroma.com/telemetry for more information.                                                                          posthog.py:22
Successfully initialized Chroma client
Starting MCP server

[jairad26]

thank you for the PR!