Pretty sure someone linked to this before because I saved it on my Amazon list on the off chance I update my TV in the future

Amazon

Zoom into the AVFABUL splitter main product image on the Amazon listing here. https://www.amazon.com/dp/B0B5ZQK9BZ/

https://www.amazon.com/Splitter-Supports-Soundbar-Duplicate-Downscale/dp/B0B5ZQK9BZ/ref=mp_s_a_1_3?crid=10VT68G2T0ULH&keywords=avstar+hdmi&qid=1670378578&sprefix=avstar+hdmi%2Caps%2C75&sr=8-3

For those in the US, this appears to be the same thing.

If you need to pass up to 4K 60 hz you get one of these:

4K@60Hz HDMI Splitter 1x2... https://www.amazon.com/dp/B08D9BCX1R?ref=ppx_pop_mob_ap_share

If you have an Xbox X or Ps5 AND a 4K 120hz tv you get one of these:

8K@60Hz 4K@120Hz HDMI 2.1... https://www.amazon.com/dp/B0B5ZQK9BZ?ref=ppx_pop_mob_ap_share

You do NOT need to connect your hue sync to the TV at all. One side splitter goes to hue, other side goes to tv, for each device.