Automated PR created by
[helm-weekly-release-pr.yaml](https://github.com/grafana/mimir/blob/main/.github/workflows/helm-weekly-release-pr.yaml)

<!-- CURSOR_SUMMARY -->
---

> [!NOTE]
> **Low Risk**
> Version and documentation-only changes with no chart logic or
dependency updates in the diff.
> 
> **Overview**
> Automated weekly release bump for **mimir-distributed**: chart
**version** moves from `6.1.0-weekly.396` to **`6.1.0-weekly.397`**, and
**appVersion** from `r396-94188e85` to **`r397-b71a23f4`**.
> 
> **README.md** is updated so the doc version note and version/app
badges match the new chart metadata. No template, values, or dependency
changes appear in this diff.
> 
> <sup>Reviewed by [Cursor Bugbot](https://cursor.com/bugbot) for commit
d1cac0bfe9d254f42b668bbf6fb5d6abc4272cb7. Bugbot is set up for automated
code reviews on this repo. Configure
[here](https://www.cursor.com/dashboard/bugbot).</sup>
<!-- /CURSOR_SUMMARY -->

Co-authored-by: mimir-vendoring[bot] <149193068+mimir-vendoring[bot]@users.noreply.github.com>