Two trays, one lid, nothing loose
The tub takes a stacked pair of trays. The lower one holds the stand flush in its floor; the upper one holds the iron in a snap cradle with the tip clipped alongside, and lifts straight out. Above both there is 24.11 mm of headroom to the rim, which is what lets the lid carry electronics instead of foam.
The whole assembly lives as one set of parts with eight keyframed configurations layered over it, from shut to fully exploded. An interference audit runs across all eight and currently reports zero unexpected contacts, so a part that would foul something in use shows up before anything is printed.
That is also why the pictures on this site are not photographs or hand staged scenes. Every one is rendered headless from the same assembly, from a committed shot list. Move a tray and the images follow.