Right-click an app → “Pin to all desktops” – that app follows you when you switch. Press Ctrl + Win + P to toggle this for the current window.
If you’re building this into an app or OS modification: how to switch desktops with keyboard
: Win + Tab — This allows you to see all desktops and open apps at once. Create New Desktop : Win + Ctrl + D . Close Current Desktop : Win + Ctrl + F4 . Apple calls these workspaces Spaces . Switch Desktops : Ctrl + Left/Right Arrow . Right-click an app → “Pin to all desktops”