Push docker images to oci.element.io (#31734)

For https://github.com/element-hq/serverproduct-internal/issues/1153

.github/workflows/docker.yaml

@@ -36,21 +36,6 @@ jobs:
               with:
                   install: true
 
-            - name: Login to Docker Hub
-              uses: docker/login-action@5e57cd118135c172c3672efd75eb46360885c0ef # v3
-              if: github.event_name != 'pull_request'
-              with:
-                  username: ${{ secrets.DOCKERHUB_USERNAME }}
-                  password: ${{ secrets.DOCKERHUB_TOKEN }}
-
-            - name: Login to GitHub Container Registry
-              uses: docker/login-action@5e57cd118135c172c3672efd75eb46360885c0ef # v3
-              if: github.event_name != 'pull_request'
-              with:
-                  registry: ghcr.io
-                  username: ${{ github.repository_owner }}
-                  password: ${{ secrets.GITHUB_TOKEN }}
-
             - name: Build and load
               id: test-build
               uses: docker/build-push-action@263435318d21b8e681c14492fe198d362a7d2c83 # v6
@@ -102,12 +87,64 @@ jobs:
                   images: |
                       vectorim/element-web
                       ghcr.io/element-hq/element-web
+                      oci-push.vpn.infra.element.io/element-web
                   tags: |
                       type=ref,event=branch
                       type=ref,event=tag
                   flavor: |
                       latest=${{ contains(github.ref_name, '-rc.') && 'false' || 'auto' }}
 
+            - name: Login to Docker Hub
+              uses: docker/login-action@5e57cd118135c172c3672efd75eb46360885c0ef # v3
+              if: github.event_name != 'pull_request'
+              with:
+                  username: ${{ secrets.DOCKERHUB_USERNAME }}
+                  password: ${{ secrets.DOCKERHUB_TOKEN }}
+
+            - name: Login to GitHub Container Registry
+              uses: docker/login-action@5e57cd118135c172c3672efd75eb46360885c0ef # v3
+              if: github.event_name != 'pull_request'
+              with:
+                  registry: ghcr.io
+                  username: ${{ github.repository_owner }}
+                  password: ${{ secrets.GITHUB_TOKEN }}
+
+            - name: Connect to Tailscale
+              uses: tailscale/github-action@53acf823325fe9ca47f4cdaa951f90b4b0de5bb9 # v4
+              if: github.event_name != 'pull_request'
+              with:
+                  oauth-client-id: ${{ secrets.TS_OAUTH_CLIENT_ID }}
+                  audience: ${{ secrets.TS_AUDIENCE }}
+                  tags: tag:github-actions
+
+            - name: Compute vault jwt role name
+              id: vault-jwt-role
+              if: github.event_name != 'pull_request'
+              run: |
+                  echo "role_name=github_service_management_$( echo "${{ github.repository }}" | sed -r 's|[/-]|_|g')" | tee -a "$GITHUB_OUTPUT"
+
+            - name: Get team registry token
+              id: import-secrets
+              uses: hashicorp/vault-action@4c06c5ccf5c0761b6029f56cfb1dcf5565918a3b # v3
+              if: github.event_name != 'pull_request'
+              with:
+                  url: https://vault.infra.ci.i.element.dev
+                  role: ${{ steps.vault-jwt-role.outputs.role_name }}
+                  path: service-management/github-actions
+                  jwtGithubAudience: https://vault.infra.ci.i.element.dev
+                  method: jwt
+                  secrets: |
+                      services/<team>-repositories/secret/data/oci.element.io username | OCI_USERNAME ;
+                      services/<team>-repositories/secret/data/oci.element.io password | OCI_PASSWORD ;
+
+            - name: Login to oci.element.io Registry
+              uses: docker/login-action@5e57cd118135c172c3672efd75eb46360885c0ef # v3
+              if: github.event_name != 'pull_request'
+              with:
+                  registry: oci-push.vpn.infra.element.io
+                  username: ${{ steps.import-secrets.outputs.OCI_USERNAME }}
+                  password: ${{ steps.import-secrets.outputs.OCI_PASSWORD }}
+
             - name: Build and push
               id: build-and-push
               uses: docker/build-push-action@263435318d21b8e681c14492fe198d362a7d2c83 # v6