Creating Tusk Sanity GitHub workflow (#46006)

Co-authored-by: use-tusk[bot] <144006087+use-tusk[bot]@users.noreply.github.com>

.github/workflows/tusk-sanity-check.yml

+# This allows Tusk to manually run workflows to check lint/build/tests before creating a PR.
+# If you have any questions, please reach out to support@usetusk.ai.
+
+name: Tusk Sanity Check
+
+on:
+  workflow_dispatch:
+    inputs:
+      taskId:
+        description: "Tusk Task ID"
+        required: true
+      runType:
+        description: "Tusk Run Type"
+        required: true
+      runId:
+        description: "Tusk Run ID"
+        required: true
+
+jobs:
+  sanity_check:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Log inputs
+        run: |
+          echo "Tusk Task ID: ${{ github.event.inputs.taskId }}"
+          echo "Tusk Run Type: ${{ github.event.inputs.runType }}"
+          echo "Tusk Run ID: ${{ github.event.inputs.runId }}"
+          echo "Current Branch: ${{ github.ref }}"
+          echo "Repository default branch: ${{ github.event.repository.default_branch }}"
+
+      - uses: actions/checkout@v4
+        with:
+          ref: ${{ github.ref }}
+          fetch-depth: 0
+
+      - name: Check which files changed
+        uses: dorny/paths-filter@v3.0.0
+        id: changes
+        with:
+          token: ${{ github.token }}
+          filters: .github/file-paths.yaml
+
+      - name: Prepare front-end environment
+        if: steps.changes.outputs.frontend_all == 'true'
+        uses: ./.github/actions/prepare-frontend
+
+      - name: Run lint-staged
+        if: steps.changes.outputs.frontend_all == 'true'
+        run: yarn lint-staged --diff=origin/${{ github.event.repository.default_branch }}
+
+      # You must include this step after running all auto-fixing steps
+      - uses: stefanzweifel/git-auto-commit-action@v5
+        with:
+          commit_message: "fix(${{ github.run_id }}): auto linting" # The commit message MUST start with "fix(${{ github.run_id }}):"
+          skip_fetch: true
+          skip_checkout: true
+
+      - name: Check types
+        if: steps.changes.outputs.frontend_all == 'true'
+        run: yarn type-check-pure