diff --git a/.github/workflows/bench.yml b/.github/workflows/bench.yml
index de407ccdba..93892ba2b8 100644
--- a/.github/workflows/bench.yml
+++ b/.github/workflows/bench.yml
@@ -1,8 +1,7 @@
 name: Bench
 on:
-  workflow_run:
-    workflows: ["Build Check"]
-    types: [completed]
+  workflow_call:
+  workflow_dispatch:
   schedule:
     # Run at 1 AM each day, so there is a `main`-branch baseline in the cache.
     - cron: '0 1 * * *'
@@ -20,7 +19,6 @@ permissions: read-all
 jobs:
   bench:
     name: Benchmark
-    if: github.event.workflow_run.conclusion == 'success'
     runs-on: self-hosted
     defaults:
       run:
diff --git a/.github/workflows/check.yml b/.github/workflows/check.yml
index ea8e61c3aa..bf0e67b755 100644
--- a/.github/workflows/check.yml
+++ b/.github/workflows/check.yml
@@ -1,4 +1,4 @@
-name: Build Check
+name: CI
 on:
   push:
     branches: ["main"]
@@ -168,3 +168,8 @@ jobs:
           token: ${{ secrets.CODECOV_TOKEN }}
           verbose: true
         if: matrix.type == 'debug' && matrix.rust-toolchain == 'stable'
+
+  bench:
+    name: "Benchmark"
+    needs: [check]
+    uses: ./.github/workflows/bench.yml
diff --git a/.github/workflows/firefox.yml b/.github/workflows/firefox.yml
index 4217b69776..777c0a9fbf 100644
--- a/.github/workflows/firefox.yml
+++ b/.github/workflows/firefox.yml
@@ -1,8 +1,9 @@
 name: Firefox
 on:
-  workflow_run:
-    workflows: ["Build Check"]
-    types: [completed]
+  workflow_dispatch:
+  pull_request:
+    branches: ["main"]
+    paths-ignore: ["*.md", "*.png", "*.svg", "LICENSE-*"]
 
 concurrency:
   group: ${{ github.workflow }}-${{ github.ref_name }}
@@ -14,7 +15,6 @@ env:
 jobs:
   firefox:
     name: Build Firefox
-    if: github.event.workflow_run.conclusion == 'success'
     strategy:
       fail-fast: false
       matrix:
diff --git a/.github/workflows/mutants.yml b/.github/workflows/mutants.yml
index 47a5e24fe1..9b98cac296 100644
--- a/.github/workflows/mutants.yml
+++ b/.github/workflows/mutants.yml
@@ -1,8 +1,11 @@
 name: Find mutants
 on:
-  workflow_run:
-    workflows: ["Build Check"]
-    types: [completed]
+  schedule:
+    - cron: '42 3 * * 2,5' # Runs at 03:42 UTC (m and h chosen arbitrarily) twice a week.
+  workflow_dispatch:
+  pull_request:
+    branches: ["main"]
+    paths-ignore: ["*.md", "*.png", "*.svg", "LICENSE-*"]
 
 concurrency:
   group: ${{ github.workflow }}-${{ github.ref_name }}
@@ -12,7 +15,6 @@ permissions: read-all
 
 jobs:
   mutants:
-    if: github.event.workflow_run.conclusion == 'success'
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@692973e3d937129bcbf40652eb9f2f61becf3332 # v4.1.7
diff --git a/.github/workflows/pr-comment.yml b/.github/workflows/pr-comment.yml
index 03d7d5823f..d294026124 100644
--- a/.github/workflows/pr-comment.yml
+++ b/.github/workflows/pr-comment.yml
@@ -8,8 +8,9 @@ name: PR Comment
 
 on:
   workflow_run:
-    workflows: [QNS, Bench, Firefox]
-    types: [completed]
+    workflows: ["QNS", "CI", "Firefox"]
+    types:
+      - completed
 
 permissions: read-all
 
diff --git a/.github/workflows/qns.yml b/.github/workflows/qns.yml
index 07e83f2055..535de02b4c 100644
--- a/.github/workflows/qns.yml
+++ b/.github/workflows/qns.yml
@@ -1,10 +1,16 @@
 name: QNS
 
 on:
-  workflow_run:
-    workflows: ["Build Check"]
-    types: [completed]
+  push:
+    branches: ["main"]
+    paths-ignore: ["*.md", "*.png", "*.svg", "LICENSE-*"]
+  pull_request:
+    branches: ["main"]
+    paths-ignore: ["*.md", "*.png", "*.svg", "LICENSE-*"]
   merge_group:
+  schedule:
+    # Run at 1 AM each day
+    - cron: '0 1 * * *'
   workflow_dispatch:
 
 concurrency:
@@ -20,7 +26,6 @@ env:
 jobs:
   docker-image:
     name: Build Docker image
-    if: github.event.workflow_run.conclusion == 'success'
     runs-on: ubuntu-latest
     outputs:
       imageID: ${{ steps.docker_build_and_push.outputs.imageID }}