chore: replace Docker build action with Depot action (#41323)

## Description
> [!TIP]  
> _Add a TL;DR when the description is longer than 500 words or
extremely technical (helps the content, marketing, and DevRel team)._
>
> _Please also include relevant motivation and context. List any
dependencies that are required for this change. Add links to Notion,
Figma or any other documents that might be relevant to the PR._


Fixes #`Issue Number`  
_or_  
Fixes `Issue URL`
> [!WARNING]  
> _If no issue exists, please create an issue first, and check with the
maintainers if the issue is valid._

## Automation

/ok-to-test tags=""

### 🔍 Cypress test results
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> [!CAUTION]  
> If you modify the content in this section, you are likely to disrupt
the CI result for your PR.

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## Communication
Should the DevRel and Marketing teams inform users about this change?
- [ ] Yes
- [ ] No

.github/workflows/docker-base-image.yml

@@ -44,12 +44,19 @@ jobs:
           fi
           echo "tag=$tag" >> "$GITHUB_OUTPUT"
 
+      - name: Set up Depot CLI
+        uses: depot/setup-action@v1
+
       - name: Build and push base image
-        uses: docker/build-push-action@v5
+        uses: depot/build-push-action@v1
         with:
+          project: ${{ secrets.DEPOT_PROJECT_ID }}
           context: .
           file: deploy/docker/base.dockerfile
           push: true
+          pull: true
           platforms: linux/arm64,linux/amd64
           tags: |
             ${{ vars.DOCKER_HUB_ORGANIZATION }}/base-${{ vars.EDITION }}:${{ steps.tag.outputs.tag }}
+        env:
+          DEPOT_TOKEN: ${{ secrets.DEPOT_TOKEN }}