Shakespeare Bust for hidden button

This is an attempt to make a Shakespeare bust like the old batman show to hide a button to your secret bat cave.
I tried to make it compatible with this red button from amazon, but I haven't printed it yet to ensure that I got the threads correct. https://a.co/d/e71I9f6

I created it in onshape, so here are the CAD files: https://cad.onshape.com/documents/2d7f02ded760119b3fe3d16f/w/4010b8f211cf42f7fbb8b8b4/e/73bd184ff484f4f1defdc558?renderMode=1&uiState=673d47990cd18b4a44cd1dca