I realise you've already got a lot of bits there, I still would have been tempted to return the Intel CPU and to get the 7800X3D simply because when it shines it really shines (the huge cache has benefits all over the place, not just games), and power consumption is considerably lower, which may impact you more especially as you mentioned you're going to have the system long term. For CPU limited games, it often does better than the Intel chip/has higher minimum framerates due to the huge CPU cache as well.
The intel chip has more cores though, and I'm sure you'll find it really fast and usable overall, there is nothing wrong with 14th gen, beyond the fact they're hot and power hungry under full load, it's just not any sort of real movement from 13th or even 12th gen, so feels like you could have had a very similar upgrade and experience a few years ago with Intel, whereas at least the 7800X3D when it shines, is basically off the charts compared to other stuff (without similar cache)
The AMD chip performs just as well for games and most tasks except heavy productivity, but the lower power consumption and heat should mean you can theoretically get a cooler, quieter PC, and lower bills each month; with power bills being what they are these days, its worth factoring.
Borrowed this chart below and it just seems a much more efficient chip under load, even if it lacks the raw multithread capability of the 7800x3D, and whilst you have no plans to upgrade your CPU for years, you would potentially have options later on to grab a multiple generations newer CPU at a later date to get a performance boost, instead of having to do a full platform refresh. (Imagine you could have dropped a 8700K/9900K in your current 4770K machine as a mid gen upgrade several years down the lines to see what I mean, it may impact how soon you need to do a whole platform refresh).
Almost 300W just on the CPU under loads where the 7800x3D is pulling sub 100W. Using a Noctua NH-U14S, the 7800X3D was around 12 degrees cooler also, which translates to a quieter running cooler not having to work as hard, or less heat kicked out into your room. (If you use it to keep your room warm, then ignore me)
As your parts are still arriving, and you should still be able to return, I just wanted to remention this, as have to wonder if you're backing the wrong horse with Intel. It won't be a BAD choice, just not sure it's the best
The 7800X3D is also cheaper than the 14700k
My current rig is (overclocked) Intel, my previous rig was Intel (10700K) and my wife's rig is a 10700K (and even this is power hungry), if I was building now, I'd be building AMD