Will Adobe Premiere Pro work well with Core i3 10th gen?

First off, there is no 11th-Gen i3 desktop CPU. When the 11th-Gen CPUs were introduced over a year ago, only the i5, i7 and i9 were ever released in 11th-Gen. The i3 only got a 10th-Gen refresh with higher base clock speeds.

Second, coming from a 7th-Gen i5, the 10th-Gen i3 refresh isn't worth the total cost of that upgrade as you'd be updating your PC from a quad-core CPU to another quad-core CPU that uses basically the same CPU architecture. You'd be spending a whopping $300+ for the total cost of your planned upgrade just to add hyperthreading to your existing PC. Plus, a new motherboard would be required for that 10th-Gen i3 as the socket that it uses is physically incompatible with your current motherboard.

And this is all because Intel has gotten complacent during the years between 6th-Gen and 10th/11th-Gen. Intel had been basically keeping everything the same during those five years, which drove a lot of people to AMD CPUs during that time frame.

Why stop there when you can get a much more substantial CPU performance upgrade for just a few dollars more? I am suggesting instead a 10th- or 11th-Gen i5 CPU with 6 cores and 12 threads, versus that 10th-Gen i3's 4 cores and 8 threads, as a more worthwhile upgrade to your current 4-core/4-thread CPU system.

And whichever CPU you choose, if you're not going to carry over an existing discrete graphics card (GPU) to your new system, or you're not planning to buy a new discrete GPU with your upgrade, then skip all of the CPUs that have an "F" in the model number as those CPUs absolutely require a discrete GPU just to even function at all.

And also with i3-10th/11th there will be 8GB DDR4 & 256/512GB SSD. Any more thing to add?