Is your feature request related to a problem? Please describe.

We're currently basing Mimir images off of 3.15.0 which has had a few patch releases so far (latest at time of writing is 3.15.4)

Describe the solution you'd like

Update to alpine:3.16.0 in each of our Docker images.

Describe alternatives you've considered

N/A

Additional context

Our internal security scanner has found a variety of issues with tools in 3.15 (unrelated to Mimir itself).