fix(docker): discover Playwright headless_shell browser (#35717)

Co-authored-by: Nic <nicsequenzy@gmail.com>

docker/stage2-hook.sh

@@ -309,9 +309,10 @@ fi
 #   shared libraries (libGLESv2.so, libEGL.so, ...) which inherit the
 #   executable bit from Playwright's tarball but are NOT browser binaries.
 #   We only accept files whose basename is chrome / chromium /
-#   chrome-headless-shell / chromium-browser. Compare PR #18635's earlier
-#   ``find | grep -Ei 'chrome|chromium'`` which would match the path
-#   ``.../chrome-headless-shell-linux64/libGLESv2.so`` and pick a .so.
+#   chrome-headless-shell / headless_shell / chromium-browser. Compare
+#   PR #18635's earlier ``find | grep -Ei 'chrome|chromium'`` which would
+#   match the path ``.../chrome-headless-shell-linux64/libGLESv2.so`` and
+#   pick a .so.
 # - Quietly skipped when $PLAYWRIGHT_BROWSERS_PATH doesn't exist (e.g.
 #   custom builds that strip Playwright).
 if [ -z "${AGENT_BROWSER_EXECUTABLE_PATH:-}" ] && \
@@ -319,7 +320,8 @@ if [ -z "${AGENT_BROWSER_EXECUTABLE_PATH:-}" ] && \
         [ -d "$PLAYWRIGHT_BROWSERS_PATH" ]; then
     browser_bin=$(find "$PLAYWRIGHT_BROWSERS_PATH" -type f -executable \
         \( -name 'chrome' -o -name 'chromium' \
-           -o -name 'chrome-headless-shell' -o -name 'chromium-browser' \) \
+           -o -name 'chrome-headless-shell' -o -name 'headless_shell' \
+           -o -name 'chromium-browser' \) \
         2>/dev/null | head -n 1)
     if [ -n "$browser_bin" ]; then
         echo "[stage2] Found agent-browser Chromium binary: $browser_bin"