If you have a wired network you could potentially use an HDMI extender over CAT5 https://www.scan.co.uk/products/startech-hdmi-extender-over-cat5-cabling-over-30m-2-cat5-cables-required-black or similar
Cheers but that requires a direct run and can't be shared with network traffic so wouldn't work with the cabling I have.
@aggi started
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If you have a wired network you could potentially use an HDMI extender over CAT5
https://www.scan.co.uk/products/startech-hdmi-extender-over-cat5-cabling-over-30m-2-cat5-cables-required-black
or similar