Charging/battery pack case for iPhone SE 2020 that supports headphone use

I'm trying to find a battery pack / charging case for the iPhone SE 2020 model (A2275) that allows use of the headphone jack while the phone is inside the case. I've tried buying several models that advertise that this is supported, but when I get the case home and try it, it doesn't work. The battery pack will charge the phone OK, but the headphones won't work through the case. I've verified the headphone jack on the phone itself works - if I take the phone out of the case and plug in the headphones it works just fine; the headphones just don't work when plugged into the port on the case, with that plugged into the port in the phone.

Does anyone have a solve for this?