Your TV does optical. Optical to a DAC sure works. A HDMi audio extractor will work, and will play sound from the tv if it supports ARC. Option 3 is over Bluetooth to something like a qdelix 5k, although quality may take a hit.

A USB dac might actually work, it works for some Sony TVs https://community.sony.co.uk/t5/android-tv/usb-audio-support-usb-dac-for-sony-bravia-android-tv-kd-49xh8096/td-p/3881043 but it doesn't look well-supported. I wouldn't buy a usb dac for that tv without knowing that particular model works.

Probably need an amp too, or an amp dac combo.