My thoughts:
I5-13700 is a fine processor.
Bypass the $25 savings on the F suffix version.
Having integrated graphics can be a life saver if you ever have a graphics card problem.
As a plus, you get quick sync:
Unlock media features on CPUs, GPUs, VPUs, and other accelerators with a successor to Intel® Media SDK—a video-processing API for encode and decode.
www.intel.com
Noctua maintains a list of their suitable air coolers.
Unlock media features on CPUs, GPUs, VPUs, and other accelerators with a successor to Intel® Media SDK—a video-processing API for encode and decode.
www.intel.com
Because the 13700 can not be overclocked, the cooling requirements are not great.
A simple Noctua NH-D12s would be sufficient.
All noctua coolers come with a tube of very good paste.
Do not expect an aio cooler to last another 11 years.
The mechanical pump will fail or get debris. The tubes will admit air requiring replacement.
Consider an aio as a 5 year rental after which you will likely need a replacement.
850w is good, but Thermaltake psu's can vary in quality.
Check the model number details.
For the long term, look for a psu with a 10 year warranty.
It is not clear if the one you selected is one of the good ones or not.
Alternatives would be Corsair RMx or Seasonic focus/prime.
If you want RGB "bling" the case you selected is ok.
It has 160mm cooler headroom which is enough for most good air coolers. NH-D15 excepted. NH-D15s is ok.
cases are a personal choice.