[Update] Starting Fresh

[StaticKC]

Budget (including currency): $750.00 - $1,100.00

Country: US

Games, programs or workloads that it will be used for: Advanced Programming, Streaming/Video Editing, Gaming (Cyberpunk, R6 Siege, Minecraft, etc)

Other details (existing parts lists, whether any peripherals are needed, what you're upgrading from, when you're going to buy, what resolution and refresh rate you want to play at, etc):

Currently have the following in possession - Reference 7900 XTX, 1080P + 165Hz Gigabyte G27FC Monitors (2)

Just sold off an i9-13900KF, so ideally, it's not using this CPU, haha, but if a build is better off with it, go ahead haha! Looking to buy all parts from the present day through the next 2 months.

Ideally, this gets put in an SFF (ITX specifically) build without giving up too much for temp control. It's a bit overzealous, but I'd love a small effective and good looking machine.

 

[Aaron_T]

So the case is going to be a bit of a personal decision, but personally I would love to build a new system in the Fractal Design Terra case: https://www.fractal-design.com/products/cases/terra/terra/terra-jade/

This is the build I put together that should fit in the Terra, along with your 7900 xtx reference card:
 

PCPartPicker Part List

CPU: Intel Core i5-13400 2.5 GHz 10-Core Processor  ($228.00 @ B&H) 
CPU Cooler: Noctua NH-L9x65 33.84 CFM CPU Cooler  ($59.95 @ Amazon) 
Motherboard: Asus ROG STRIX B760-I GAMING WIFI Mini ITX LGA1700 Motherboard  ($218.99 @ Amazon) 
Memory: G.Skill Ripjaws S5 32 GB (2 x 16 GB) DDR5-6000 CL30 Memory  ($108.99 @ Newegg) 
Storage: Samsung 980 Pro 2 TB M.2-2280 PCIe 4.0 X4 NVME Solid State Drive  ($122.09 @ Amazon) 
Power Supply: Cooler Master V750 SFX GOLD 750 W 80+ Gold Certified Fully Modular SFX Power Supply  ($109.99 @ Newegg) 
Total: $848.01
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2023-07-02 20:08 EDT-0400

With the CPU cooler selected: 65mm height, and the 51mm GPU width, you should have 5 mm of left-over clearance on one side of the case or the other depending on how you set the adjustable center spine of the Terra case. The other dimensions of the GPU have plenty of clearance based on the spec of the case from the Fractal site linked above.

With the parts list, including the GPU you already have, you have about $250 left for the cost of the case. Didn't include tax or shipping into this list.