Baseus have a great deal on this monitor mounted LED light bar. It's been posted numerous times previously (e.g. here and here), if you want to wade into those previous discussions.
I think it's the cheapest I've ever seen it. Happy to be corrected. Please note, this is the 'Youth' version. According to the description, it fits monitors up to 20mm thickness. Others might want to verify from experience. I have the non-youth version and really like it. It lights up my workbench and let me retire my old lamp that was taking up valuable bench real estate.
Nice post OP. :) Can we still keep our webcam on the top of the screen, if we have this one fixed? I am going to order it very soon. :)