Pretty sure this is the exact model I have https://www.amazon.com/ZOHAN-Electronic-Professional-Amplification-Reduction/dp/B07DN6WZG9?th=1 though I bet you can find much better ones out there.
I bought these off Amazon:
https://www.amazon.com/dp/B07DN6WZG9?psc=1&ref=ppx_yo2ov_dt_b_product_details
They take an audio jack. I have used a bluetooth adapter with an audio jack with a similar set before when I wanted bluetooth. I don't use them for music. But I will listen to bullseye commands when I practice shooting. I have an app for it.
This particular set will amplify sound that isn't loud in the range. The mic will cut out when there's shooting. I will wear ear plugs then double up with the muffs with the volume up all the way. So then I have double ear protection but native sound as if I weren't using protection.
It will both play through the audio jack and amplify sound at the same time. Another set I had would only do one or the other.
You could get a set of shooting ear protection (example) but it'd be kind of annoying wearing them around the house.