Unset BROWSER for xdg-settings reads and don't abort removal on fallback failure

xdg-settings get also consults $BROWSER, so unset it for the getters too.
A failed best-effort fallback default should not abort the browser removal.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

bin/omarchy-default-browser

@@ -5,7 +5,7 @@
 # omarchy:examples=omarchy default browser firefox | omarchy default browser brave
 
 if (($# == 0)); then
-  case "$(xdg-settings get default-web-browser)" in
+  case "$(env -u BROWSER xdg-settings get default-web-browser)" in
   chromium.desktop) echo "chromium" ;;
   google-chrome.desktop) echo "chrome" ;;
   brave-browser.desktop) echo "brave" ;;
@@ -13,7 +13,7 @@ if (($# == 0)); then
   microsoft-edge.desktop) echo "edge" ;;
   firefox.desktop) echo "firefox" ;;
   zen.desktop) echo "zen" ;;
-  *) xdg-settings get default-web-browser ;;
+  *) env -u BROWSER xdg-settings get default-web-browser ;;
   esac
   exit 0
 fi

bin/omarchy-launch-browser

@@ -3,7 +3,7 @@
 # omarchy:summary=Launch the default browser as determined by xdg-settings.
 # omarchy:args=[url]
 
-default_browser=$(xdg-settings get default-web-browser)
+default_browser=$(env -u 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 --help 2>/dev/null | grep -q MOZ_LOG; then

bin/omarchy-remove-browser

@@ -7,14 +7,14 @@
 
 set_fallback_default_browser() {
   local current_browser
-  current_browser=$(xdg-settings get default-web-browser)
+  current_browser=$(env -u BROWSER xdg-settings get default-web-browser)
 
   if [[ $current_browser != $1 ]]; then
     return
   fi
 
   if omarchy-cmd-present chromium; then
-    env -u BROWSER xdg-settings set default-web-browser chromium.desktop || exit 1
+    env -u BROWSER xdg-settings set default-web-browser chromium.desktop || true
   fi
 }