feat(cli): add omarchy-launch-browser and projects-sync scripts, update cycle launcher and monitor handling

dot_local/bin/executable_omarchy-launch-browser

@@ -0,0 +1,19 @@
+#!/bin/bash
+
+# omarchy:summary=Launch the default browser; a cold Brave Origin start reopens the last session without the "Restore pages?" prompt.
+# omarchy:args=[url]
+
+# Shadows /usr/bin/omarchy-launch-browser (~/.local/bin is earlier on PATH)
+# and hands off to it. A reboot or power-off kills Brave uncleanly, so the
+# next start counts as post-crash: Chromium then skips session restore and
+# shows the "Restore pages?" bubble instead. --hide-crash-restore-bubble
+# clears that post-crash state, and --restore-last-session reopens every
+# window. Added only on a cold, non-private start: a running browser ignores
+# both, and Omarchy's launcher would read the first flag as the URL to focus.
+if [[ " $* " != *" --private "* ]] &&
+  [[ $(env -u BROWSER xdg-settings get default-web-browser) == brave-origin.desktop ]] &&
+  ! pgrep -f '^/opt/brave-origin-bin/brave( |$)' >/dev/null; then
+  set -- --restore-last-session --hide-crash-restore-bubble "$@"
+fi
+
+exec /usr/bin/omarchy-launch-browser "$@"