As Bernd mentions, Group and Ungroup will allow you to do this. Have a look at this section of the documentation for more: Basic Usage: The Essentials - LightBurn Software Documentation
When you create shapes in LightBurn, they’re independent of other shapes you create. Sometimes it’s handy to be able to treat a collection of things as a single unit, to make sure they keep their relative position and size when you’re moving them around. In LightBurn, this is called a Group. If you select two or more shapes and click the ‘Group’ button (), or press Ctrl+G, you’ll create a new object that contains the original shapes. To un-group the objects so you can edit the individual parts, select a group of shapes and click the un-group button (), or Ctrl+U.
You can tell if a shape is in a group or not based on how it looks when selected.
Ungrouped objects are displayed with a simple dash pattern when selected, like the single circle above on the left. A grouped shape shows a repeating dot-dot-dash pattern when selected, shown on the three smaller circles above on the right.