Is your feature request related to a problem? Please describe. Ever since busybox was removed, it is now difficult to implement a docker healthcheck for Tempo. The only solution is to use a custom docker image, pulling in the necessary network tools and shell.
Describe the solution you'd like The Loki team implemented this neat healthcheck command into the loki binary. Something like this would be incredibly useful to have in Tempo aswell. https://github.com/grafana/loki/pull/20590/changes
Describe alternatives you've considered Creating a custom image with the necessary binaries from busybox. This is inferior as it likely adds back some CVEs and is not really great for production. We do not need a shell or wget or curl for anything other than the purposes of checking Tempo's health, and not having to include these would allow us to make the container more secure.