I'm guessing you mean i3, not i5, since the cheapest option there includes an i3 with 8GB of RAM. The thing to understand is that older i5's or i7's aren't necessarily more powerful than newer i3's, especially for gaming. The i3-13100F is actually a very respectable gaming processor. You can see it actually outperforms all of the non-3D Ryzen 5000 series CPUs including the R9-5950X in Techpowerup's testing. Here are two sources to reference for CPU gaming power:
1.
3DMark: Best Desktop CPUs
2.
Techpowerup most recent CPU review gaming suite results, Apr-2023 (below)
As for the RAM, even those with a phobia of building or upgrading PC hardware should know they can easily handle installing RAM. It's something that you literally just line up (there's a notch that helps you see this), and plug in. The most difficult part of this for frugal buyers is actually picking a compatible stick to the one that comes with the computer. Here is the spec sheet for that computer:
OMEN by HP 25L Gaming Desktop GT15-1104 Product Spec Sheet
From that sheet:
Memory • Kingston FURY 8 GB DDR5-5200 XMP RGB Heatsink RAM memory (1x8 GB) (expandable to 128 GB with 32 GB DIMMs)(3a)
Crucial fills in the gaps because they maintain RAM upgrade pages catering to this need for specific models:
https://eu.crucial.com/compatible-upgrade-for/hp-compaq/omen-25l-gt15-1104
DDR5-5200 • CL=42 • Non-ECC • UDIMM • 288-pins • 1.1V • 1Rx8 based • PC5-41600
Those are the specs that matter to match, not the GB size of the stick. The RAM slots in its motherboard take up to 32GB sticks of RAM (there are also 4 slots). So you could actually buy a 32GB stick, and have 40GB of RAM with just two sticks (the 8GB that comes with the computer plus a max 32GB mate). You can use PCPP to shop. I've preselected the filters:
https://pcpartpicker.com/products/m...8001&E=0&B=1100000000&L=420&sort=price&page=1
It's $29.99 for an 8GB mate. That would take you to 16GB RAM, and you'd be running in dual channel. Your new total is
$629.