make omarchy-launch-browser check for firefox exclusive flag to detect base (#4572)

Co-authored-by: Mrid22 <mridulaga@outlook.com>

bin/omarchy-launch-browser

@@ -6,7 +6,7 @@
 default_browser=$(xdg-settings get default-web-browser)
 browser_exec=$(sed -n 's/^Exec=\([^ ]*\).*/\1/p' {~/.local,~/.nix-profile,/usr}/share/applications/$default_browser 2>/dev/null | head -1)
 
-if [[ $browser_exec =~ (firefox|zen|librewolf|mullvad) ]]; then
+if [[ $browser_exec --help | grep MOZ_LOG ]]; then
   private_flag="--private-window"
 elif [[ $browser_exec =~ edge ]]; then
   private_flag="--inprivate"