Whenever performing a double tap on the illuminations system, the system will first read the press and execute its programming if it has any. In order to ensure the double tap programming will execute without the press programming, you would have to create a conditional button.
Attached is a sample project file with this functionality. The press preset should have a 1 second delay. The double tap preset should have no delay. The press tab should have the “Always” execute the preset. On the “double tap” preset, it should have the programming to “Always” “Stop/Halt” the press preset and then “Always” Execute the double tap preset.