diff --git a/.github/workflows/test-action-build-html.yml b/.github/workflows/test-action-build-html.yml
index eb103a1..23840de 100644
--- a/.github/workflows/test-action-build-html.yml
+++ b/.github/workflows/test-action-build-html.yml
@@ -12,6 +12,9 @@ on:
       - .test/**
       - .github/workflows/test-action-build-html.yml
       - actions/ansible-docs-build-html/**
+  # Run once per week (Tuesday at 04:00 UTC)
+  schedule:
+    - cron: '0 4 * * 2'
 
 jobs:
   tests:
diff --git a/.github/workflows/test-action-build-init.yml b/.github/workflows/test-action-build-init.yml
index 3683f81..9c11f66 100644
--- a/.github/workflows/test-action-build-init.yml
+++ b/.github/workflows/test-action-build-init.yml
@@ -11,6 +11,9 @@ on:
       - .test/**
       - .github/workflows/test-action-build-init.yml
       - actions/ansible-docs-build-init/**
+  # Run once per week (Tuesday at 05:00 UTC)
+  schedule:
+    - cron: '0 5 * * 2'
 
 jobs:
   tests:
@@ -116,7 +119,7 @@ jobs:
           ${{ matrix.skip-init }} || ${{ matrix.provide-link-targets == '' }} || grep -- '^:orphan:$' rst/_targets.rst || exit 1
           ${{ matrix.skip-init }} || ${{ matrix.provide-link-targets == '' }} || grep -- '^.. _outside_reference_1:$' rst/_targets.rst || exit 1
           ${{ matrix.skip-init }} || ${{ matrix.provide-link-targets == '' }} || grep -- '^.. _outside_reference_2:$' rst/_targets.rst || exit 1
-          ${{ matrix.skip-init }} || ${{ matrix.provide-link-targets == '' }} || (pip install rstcheck && rstcheck --report warning rst/_targets.rst) || exit 1
+          ${{ matrix.skip-init }} || ${{ matrix.provide-link-targets == '' }} || (pip install --upgrade rstcheck && rstcheck --report-level warning rst/_targets.rst) || exit 1
 
           # check if provide-link-targets was not used when being empty
           # short circuit if skip-init is 'true' or matrix.provide-link-targets is not empty