There are a number of responses to your question, the best one depends upon your intended usage.
Yes, modern TVs have a HDMI port which will hook up to your brick, I have just been using my caravan TV to a get a Raspberry Pi up and running. However the resolution on mine is not good at 1366x768, a decent monitor will be at least 1920x1080 and that difference really shows. My TV was adequate for the short term, limited monitor use I needed but, no way, would I tolerate it as a long term monitor.
Your brick looks good but a little expensive have a look at "industrial PCs" too.
Consider also a Logitech wireless keyboard and mouse.
Given the desk space and power usage you will have with the above equipment I'd suggest a notebook computer instead; I recently bought a Dell 14", I5, 16GB, 256GB from an ebay reseller of corporates for $400 delivered. That was six months ago and it's fine - it came with W11 but I installed Linux as a dual boot and, almost, never use windows.
Also note: caravan TVs are not great on 12V nominal, if the supply drops to 11.9V you'll have issues.