Medicate

Well first you'll need make sure that it's a proper monitor input port on your Laptop. Then connect a cable from your PC's GPU output to your laptop input (not an output port). At last change the laptop's source for receiving an image to the PC's GPU in the settings of your laptop.

Are you sure it's a Display Port input and not a normal Display Port output? Because it's very unusual for laptops to have monitor input ports. And without a proper input port, what you're trying to do won't work.

130 FPS is pretty much the maximum the 9700k can produce in CoD warzone. With an overclock you could get a bit more fps out of it. The GPU is sitting at 50% because it isn't being utilised when the graphic settings are this low. To increase GPU load you'd need to increase graphics quality and/or resolution.

That specific Motherboard does support the BIOS Flashback feature, which allows you to update the BIOS without a CPU installed by having the correct BIOS files on a USB stick. More informations on how to do this correctly should be in the Motherboard manual.

What you could do is buy an 7640x from Amazon and use their 30 day return policy to return it again after updating the BIOS.

The performance difference between the 1165G7 and 1185G7 is almost non-existent. The 100Mhz slower boost clock will be unnoticeable in pretty much every scenario.

The RAM limitation is a motherboard limitation. An Am3 cpu won't change that.

That motherboard only supports up to 8GB of DDR2 ram, the cpu does not play a role in this.

That is simply not true. No game on the market right now has any problems running on a 6c/12t CPU. Plenty of reviewers pointed out at the time of the 5600x and 5800x release that there is no point at all in getting the 5800x for gaming as there were zero benefits. Even a 4c/8t Cpu on a modern architecture and/or high clock speeds is still a very good gaming CPU. There is nothing "iffy" about them.

Almost every Core-i 1100 chip seems to be better value than any AMD chip now, unless Rocket lake has some extreme performance issues. Also Intel should have better availability which is atm the most important factor in real world pricing.

Here's a neat little list: https://xsreviews.co.uk/news/games-with-built-in-benchmarks-how-to-benchmark-your-pc/ Seems to be pretty complete

I wouldn't call 100% - 200% more performance nearly identical

https://www.alternate.de/Samsung/Odyssey-G5-C27G54TQWU-Gaming-Monitor/html/product/1664477?campaign=Monitor/Samsung/1664477

The second PCIE_X16 slot on the Asus P8Z77-V LX is only wired as a X4 slot, so the GPU will only have PCIe 2.0 x4 available to it. That is definitely a bottleneck for a RTX 3070. But there is nothing else you can do, can you? Just run it in that slot until you can get a new motherboard.

No that shouldn't be any problem for the GPU