PS5 Wireless Gaming and Recording: How To Record/Stream Game Audio Using a Wireless Headset
It's a pricey solution but a solution none the less. Here is how I record/stream gaming video and audio while using a wireless headset on my ps5.
Compatible Headsets: So far any headset with a base/DAC that has a lin-in/aux port (Astro A50, Arctis Nova Pro Wireless for example)