diff --git a/.gitea/workflows/build.yaml b/.gitea/workflows/build.yaml
index 140a38f..fb58d06 100644
--- a/.gitea/workflows/build.yaml
+++ b/.gitea/workflows/build.yaml
@@ -2,6 +2,12 @@ name: Build containers
 
 on:
   workflow_dispatch:
+    inputs:
+      image:
+        description: Image to build
+        type: choice
+        options: [all, fedora-cosmic, fedora-remote, fedora-intune]
+        default: all
   pull_request:
     branches: ["main"]
   push:
@@ -15,11 +21,17 @@ jobs:
   changes:
     name: Compute changes
     runs-on: job-v2
+    # The runner has no git: without it actions/checkout falls back to a
+    # tarball with no history, `git diff` fails and every image is rebuilt.
+    container:
+      image: "quay.io/fedora-ostree-desktops/buildroot:44"
     outputs:
       cosmic: ${{ steps.changes.outputs.cosmic }}
       remote: ${{ steps.changes.outputs.remote }}
       intune: ${{ steps.changes.outputs.intune }}
     steps:
+      - name: Install tools
+        run: dnf install -y nodejs git
       - name: Checkout
         uses: actions/checkout@v4
         with:
@@ -27,17 +39,53 @@ jobs:
       - name: Detect changed images
         id: changes
         shell: bash
+        env:
+          EVENT: ${{ github.event_name }}
+          BEFORE: ${{ github.event.before }}
+          SHA: ${{ github.sha }}
+          BASE_REF: ${{ github.base_ref }}
+          DISPATCH_IMAGE: ${{ inputs.image }}
         run: |
           set -euo pipefail
-          if [[ "${{ github.event_name }}" == "push" \
-                && -n "${{ github.event.before }}" \
-                && "${{ github.event.before }}" != "0000000000000000000000000000000000000000" ]]; then
-            changed="$(git diff --name-only "${{ github.event.before }}" "${{ github.sha }}" || true)"
-          elif [[ "${{ github.event_name }}" == "pull_request" ]]; then
-            changed="$(git diff --name-only "origin/${{ github.base_ref }}...HEAD" || true)"
-          else
-            changed=""
-          fi
+          # Diff the event's commits; any failure rebuilds everything, but
+          # say so instead of hiding it.
+          diff_or_all() {
+            if ! changed="$(git diff --name-only "$@")"; then
+              echo "::warning::git diff $* failed; rebuilding every image"
+              changed=""
+            elif [[ -z "${changed}" ]]; then
+              # Nothing changed (e.g. an empty merge): build nothing rather
+              # than everything.
+              changed="(none)"
+            fi
+          }
+          case "${EVENT}" in
+            push)
+              if [[ -n "${BEFORE}" && "${BEFORE}" != 0000000000000000000000000000000000000000 ]]; then
+                diff_or_all "${BEFORE}" "${SHA}"
+              else
+                echo "::warning::push without a previous commit; rebuilding every image"
+                changed=""
+              fi
+              ;;
+            pull_request)
+              diff_or_all "origin/${BASE_REF}...HEAD"
+              ;;
+            workflow_dispatch)
+              # Pretend the chosen image's directory changed; "all" (or no
+              # input) rebuilds everything.
+              if [[ -n "${DISPATCH_IMAGE}" && "${DISPATCH_IMAGE}" != all ]]; then
+                changed="images/${DISPATCH_IMAGE}/"
+              else
+                changed=""
+              fi
+              ;;
+            *)
+              # schedule: the weekly rebuild picks up package updates for all.
+              changed=""
+              ;;
+          esac
+          printf 'Changed paths:\n%s\n' "${changed:-(all)}"
           eval "$(printf '%s\n' "${changed}" | ./ci-changes.sh)"
           echo "cosmic=${cosmic}" >> "$GITHUB_OUTPUT"
           echo "remote=${remote}" >> "$GITHUB_OUTPUT"