diff --git a/docs/webxr-chromium.md b/docs/webxr-chromium.md
index 5b7d3c8..df151fc 100644
--- a/docs/webxr-chromium.md
+++ b/docs/webxr-chromium.md
@@ -3,6 +3,10 @@
 Goal: open a web VR180 or 360 player (DeoVR and DL8 embeds, WebXR samples),
 press its VR button, and watch in 3D in the headset.
 
+A standalone, public version of this build (build script, the SO_PEERCRED
+patch, and a Frame-side installer that adds "Chromium XR" to the Steam library)
+is at [saphid/chromium-webxr-steam-frame](https://github.com/saphid/chromium-webxr-steam-frame).
+
 ## Why Flathub Chromium can't
 
 **Verified 2026-09-25** (Frame BUILD_ID 20260922.6101926, Flathub
diff --git a/scripts/build-chromium-xr.sh b/scripts/build-chromium-xr.sh
index 9c477f4..4b1dafb 100755
--- a/scripts/build-chromium-xr.sh
+++ b/scripts/build-chromium-xr.sh
@@ -36,12 +36,18 @@ if ! git -C src rev-parse -q --verify HEAD >/dev/null 2>&1; then
 fi
 guard
 stage "src at $(git -C src log -1 --format='%h %s')"
-stage "gclient sync"
-gclient sync --nohooks --no-history -D --shallow --revision "src@$(git -C src rev-parse HEAD)" -j 8
-guard
-stage "runhooks"
-gclient runhooks
-src/build/linux/sysroot_scripts/install-sysroot.py --arch=arm64
+rev=$(git -C src rev-parse HEAD)
+# Sync once per revision: once the patch below is applied, gclient sync
+# refuses to run on the modified checkout, so re-runs must skip it.
+if [ "$(cat "$W/synced" 2>/dev/null)" != "$rev" ]; then
+  stage "gclient sync"
+  gclient sync --nohooks --no-history -D --shallow --revision "src@$rev" -j 8
+  guard
+  stage "runhooks"
+  gclient runhooks
+  src/build/linux/sysroot_scripts/install-sysroot.py --arch=arm64
+  echo "$rev" > "$W/synced"
+fi
 guard
 cd src
 # CL 8441736's XR seccomp policy refuses getsockopt, and SteamVR's IPC client