I have a nearly exact setup with a 2019 P series. Shield connects to sound bar. Sound bar connects to tv. Zero issues with it and uses Dolby Vision. Are the cables high end? You need very good HDMI cables.
Here's what I bought:
https://www.amazon.com/dp/B07WNM2NJ5/ref=cm_sw_r_cp_apa_fabc_rAD1FbX39MSWR?_encoding=UTF8&psc=1