docs: Update Bun containerization guide to reflect new DHI process (#23857)

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## Description

Update the Bun containerization Bun to reflect the new DHI access method

## Reviews

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- [ ] Technical review
- [x] Editorial review
- [ ] Product review

content/guides/bun/containerize.md

@@ -58,13 +58,25 @@ Choosing DHI offers the advantage of a production-ready image that is lightweigh
 
 {{< tabs >}}
 {{< tab name="Using Docker Hardened Images" >}}
-Docker Hardened Images (DHIs) are available for Bun on [Docker Hub](https://hub.docker.com/hardened-images/catalog/dhi/bun). Unlike using the Docker Official Image, you must first mirror the Bun image into your organization and then use it as your base image. Follow the instructions in the [DHI quickstart](/dhi/get-started/) to create a mirrored repository for Bun.
 
-Mirrored repositories must start with `dhi-`, for example: `FROM <your-namespace>/dhi-bun:<tag>`. In the following Dockerfile, the `FROM` instruction uses `<your-namespace>/dhi-bun:1` as the base image.
+Docker Hardened Images (DHIs) are available for Bun in the [Docker Hardened Images catalog](https://hub.docker.com/hardened-images/catalog/dhi/bun). You can pull DHIs directly from the `dhi.io` registry.
+
+1. Sign in to the DHI registry:
+   ```console
+   $ docker login dhi.io
+   ```
+
+2. Pull the Bun DHI as `dhi.io/bun:1`. The tag (`1`) in this example refers to the version to the latest 1.x version of Bun.
+
+   ```console
+   $ docker pull dhi.io/bun:1
+   ```
+
+For other available versions, refer to the [catalog](https://hub.docker.com/hardened-images/catalog/dhi/bun).
 
 ```dockerfile
 # Use the DHI Bun image as the base image
-FROM <your-namespace>/dhi-bun:1
+FROM dhi.io/bun:1
 
 # Set the working directory in the container
 WORKDIR /app