diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index d26b2bdbfb..6a45081b9a 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -57,11 +57,11 @@ variables:
   #
   # This is done by running `ci-fairy generate-template` and possibly bumping
   # ".default_tag".
-  ALPINE_TAG:  'tag-21b37b356080'
-  CENTOS_TAG:  'tag-7397c485797c'
-  DEBIAN_TAG:  'tag-501092ec7ae8'
-  FEDORA_TAG:  'tag-7397c485797c'
-  UBUNTU_TAG:  'tag-501092ec7ae8'
+  ALPINE_TAG:  'tag-f2be574dc218'
+  CENTOS_TAG:  'tag-bb4b8be087a5'
+  DEBIAN_TAG:  'tag-3f002f353fc3'
+  FEDORA_TAG:  'tag-bb4b8be087a5'
+  UBUNTU_TAG:  'tag-3f002f353fc3'
 
   ALPINE_EXEC: 'bash .gitlab-ci/alpine-install.sh'
   CENTOS_EXEC: 'bash .gitlab-ci/fedora-install.sh'
@@ -360,6 +360,12 @@ check-tree:
   needs:
     - "tier1:fedora:40@prep"
   stage: tier1
+  rules:
+    - if: $CI_PIPELINE_SOURCE == 'merge_request_event' && $CI_MERGE_REQUEST_TARGET_BRANCH_NAME != $CI_DEFAULT_BRANCH
+      allow_failure: true
+    - if: $CI_PIPELINE_SOURCE == 'push' && $CI_COMMIT_BRANCH != $CI_DEFAULT_BRANCH
+      allow_failure: true
+    - if: $CI_PIPELINE_SOURCE != 'schedule'
   script:
     - date '+%Y%m%d-%H%M%S'; clang-format --version
     - date '+%Y%m%d-%H%M%S'; black --version
diff --git a/.gitlab-ci/ci.template b/.gitlab-ci/ci.template
index 5911940996..c73d7f89eb 100644
--- a/.gitlab-ci/ci.template
+++ b/.gitlab-ci/ci.template
@@ -204,6 +204,12 @@ check-tree:
   needs:
     - "tier{{default_distro.tier}}:{{default_distro.name}}:{{default_distro.versions[0]}}@prep"
   stage: tier1
+  rules:
+    - if: $CI_PIPELINE_SOURCE == 'merge_request_event' && $CI_MERGE_REQUEST_TARGET_BRANCH_NAME != $CI_DEFAULT_BRANCH
+      allow_failure: true
+    - if: $CI_PIPELINE_SOURCE == 'push' && $CI_COMMIT_BRANCH != $CI_DEFAULT_BRANCH
+      allow_failure: true
+    - if: $CI_PIPELINE_SOURCE != 'schedule'
   script:
     - date '+%Y%m%d-%H%M%S'; clang-format --version
     - date '+%Y%m%d-%H%M%S'; black --version