NP Puzzle: Keep It Shut

A NoProblemPuzzles original:

Warding off any wrong attempt to pack the four pieces in the box and close it, will have Keep It Shut disapprovingly re-open its lid automatically as a way to show the packing is rejected.
The higher goal is to pack and move the pieces in the box so that the lid remains shut.
In the inner space of 3x3x3, many different packings (around 6K) are possible, however there is only one solution.