The PSI Positron Production (P3 or P-cubed) experiment is a demonstrator
for a e+ source and capture system with potential to improve the
state-of-the-art e+ yield by an order of magnitude. The experiment is driven by
the FCC-ee injector study and will be hosted in the SwissFEL facility at the
Paul Scherrer Institute in Switzerland. This paper is an overview of the P3
design at an advanced stage, with a particular emphasis on a novel e+ capture
system and its associated beam dynamics. Additionally, a concept for the
experiment diagnostics is presented, as well as the key points of the ongoing
installation works