logic pro live audio output as iphone video recorder input?

Hi there, I'd like to route my Logic Pro mix/effects output to my iPhone input as the audio signal for a live video recording. I'd like to do this with minimal latency. (MacBook Pro USB-C output; iPhone 13 Lightning input.)

If I simply connect the two via USB-C to Lightning cable, I can't get Logic Pro, nor Sound settings, to recognize the iPhone/USB-C port as an output option. Ideas?

I'm assuming that if I can figure this out, the standard Photos app on my iPhone will recognize the Lightning audio input source.

If relevant: I'm recording via analog mics to a MOTU M4, then via USB-C to MacBook Pro running Logic. I *can* route the Logic Pro output back to the M4, but all ports to monitor this output on the M4 are analog (e.g., headphones). I could go from one of these via an A/D converter to the iPhone, but a simpler solution seems conceivable.

Thank you for ideas: those I've attempted from a search haven't proved useful. (Btw, minimal latency generally means a hardwired vs. streamed connection, unless I'm incorrect.)

Jim P.