Allow for default webapps with icons that ship with Omarchy

applications/Basecamp.desktop

@@ -0,0 +1,11 @@
+[Desktop Entry]
+Version=1.0
+Name=Basecamp
+Comment=Basecamp Project Management
+Exec=google-chrome-stable --new-window --ozone-platform=wayland --app="https://launchpad.37signals.com" --name=Basecamp --class=Basecamp
+Terminal=false
+Type=Application
+Icon=Basecamp
+Categories=GTK;
+MimeType=text/html;text/xml;application/xhtml_xml;
+StartupNotify=true

applications/HEY.desktop

@@ -0,0 +1,12 @@
+[Desktop Entry]
+Version=1.0
+Name=HEY
+Comment=HEY Email + Calendar
+Exec=google-chrome-stable --new-window --ozone-platform=wayland --app="https://app.hey.com" --name=HEY --class=HEY
+Terminal=false
+Type=Application
+Icon=HEY
+Categories=GTK;
+MimeType=text/html;text/xml;application/xhtml_xml;
+StartupNotify=true
+

applications/icons/index.theme

@@ -0,0 +1,9 @@
+[Icon Theme]
+Name=User Icons
+Comment=User-local icon theme
+Directories=48x48/apps
+
+[48x48/apps]
+Size=48
+Context=Apps
+Type=Fixed

bin/omarchy-sync-applications

@@ -1,3 +1,14 @@
 #!/bin/bash
 
-cp ~/.local/share/omarchy/applications/* ~/.local/share/applications/
+# Ensure necessary directories are present
+mkdir -p ~/.local/share/icons/hicolor/48x48/apps/
+mkdir -p ~/.local/share/applications/
+
+# Copy and sync icon files
+cp ~/.local/share/omarchy/applications/icons/*.png ~/.local/share/icons/hicolor/48x48/apps/
+cp ~/.local/share/omarchy/applications/icons/index.theme ~/.local/share/icons/hicolor/
+gtk-update-icon-cache ~/.local/share/icons/hicolor
+
+# Copy .desktop declarations
+cp ~/.local/share/omarchy/applications/*.desktop ~/.local/share/applications/
+update-desktop-database ~/.local/share/applications