Bump MUI infra packages (#4701)

Co-authored-by: renovate[bot] <29139614+renovate[bot]@users.noreply.github.com>

Author: renovate[bot]

.circleci/config.yml

@@ -1,7 +1,7 @@
 version: 2.1
 
 orbs:
-  code-infra: https://raw.githubusercontent.com/mui/mui-public/12844f2b6b11babab17bd3d1f799359ea25d1db7/.circleci/orbs/code-infra.yml
+  code-infra: https://raw.githubusercontent.com/mui/mui-public/1d16a59f8f43b3527070678bb7d872c32e0a6cac/.circleci/orbs/code-infra.yml
 
 parameters:
   browserstack-force:

.github/workflows/ci.yml

@@ -40,7 +40,7 @@ jobs:
       - run: pnpm release:build
       - name: Publish packages
         if: matrix.os == 'ubuntu-latest'
-        uses: mui/mui-public/.github/actions/ci-publish@3feee347096f50b441cad3087743bd1c5aef8651
+        uses: mui/mui-public/.github/actions/ci-publish@1d16a59f8f43b3527070678bb7d872c32e0a6cac
         with:
           pr-comment: true
       - name: Extract Vale version

.github/workflows/new-issue-triage.yml

@@ -9,7 +9,7 @@ permissions: {}
 jobs:
   issue_cleanup:
     name: Clean issue body
-    uses: mui/mui-public/.github/workflows/issues_body-cleanup.yml@3feee347096f50b441cad3087743bd1c5aef8651
+    uses: mui/mui-public/.github/workflows/issues_body-cleanup.yml@1d16a59f8f43b3527070678bb7d872c32e0a6cac
     permissions:
       contents: read
       issues: write

.github/workflows/publish.yml

@@ -40,7 +40,7 @@ jobs:
           ref: ${{ inputs.sha }}
           fetch-depth: 0 # Fetch full history for proper git operations
       - name: Prepare for publishing
-        uses: mui/mui-public/.github/actions/publish-prepare@3feee347096f50b441cad3087743bd1c5aef8651
+        uses: mui/mui-public/.github/actions/publish-prepare@1d16a59f8f43b3527070678bb7d872c32e0a6cac
       - name: Publish packages
         env:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}

package.json

@@ -66,7 +66,7 @@
     "@arethetypeswrong/cli": "0.18.2",
     "@babel/plugin-transform-react-constant-elements": "7.27.1",
     "@base-ui/monorepo-tests": "workspace:*",
-    "@mui/internal-code-infra": "0.0.4-canary.29",
+    "@mui/internal-code-infra": "0.0.4-canary.30",
     "@mui/internal-netlify-cache": "0.0.3-canary.5",
     "@mui/internal-test-utils": "2.0.18-canary.20",
     "@next/eslint-plugin-next": "16.1.6",