Hey there! Need some help trying to set up speakers to a touch screen tv that did not come with a sound set up / optic output.

The TV: https://www.lg.com/us/business/digital-signage/lg-55tc3cg-h
Some images of the speaker set up and output options: https://imgur.com/gallery/D9HpaZ9

I purchased an optic converter link but that didn't work, so maybe I purchased the wrong one? https://www.amazon.com/gp/product/B00T8HWV62/ref=ppx_yo_dt_b_asin_title_o04_s00?ie=UTF8&th=1

Any guidance would be appreciated!

Looks like a mini connection amazon link