I'm out of town for the next few days, so I don't have access to my hardware to test. If you still haven't figured it out by Wednesday next week, I'll hook it up on the bench and confirm my drawing is correct.
In the mean time, does the P8 blow the whistle and make other sounds (like chuff) if you jump from trigger ground to the sound trigger for a test? It should. If not, the P8 might have a bad sound file load. Do you have the programming cable for the P8?
The "horn" blowing indicates that this P8 may not be properly programmed. For a Climax sound load it should be a whistle, or did you just mistype that? Sounding all by itself and not stopping is pretty odd. Will it do that if you disconnect the trigger wires?
One thing that could be going on, if this is a used P8, is that the wire color assignments have been changed from the default. That is done in the Phoenix software with a programming cable. Without the cable/software, the only way to tell if it has, is to use jumpers to fire each trigger wire and see what the p8 does.