$800 Build
Ok here we go.
The CPU: https://www.ebay.com/itm/203604257235?epid=17018846821&hash=item2f67c269d3%3Ag%3AjlgAAOSwEHRgtqpI&LH_BIN=1
The CPU Cooler: https://www.ebay.com/itm/274935418741?hash=item40036d8f75:g:F48AAOSwJTRhNVUs
The Motherboard: https://www.ebay.com/itm/265031241293?epid=6017397897&hash=item3db517ce4d:g:zhQAAOSwHhNguUzk
The RAM: https://pcpartpicker.com/product/CprRsY/silicon-power-gaming-16-gb-2-x-8-gb-ddr4-3000-cl16-memory-sp016gxlzu300bdaj7
The SSD: https://pcpartpicker.com/product/QdH7YJ/team-ax2-512-gb-25-solid-state-drive-t253a3512g0c101
The GPU: https://www.ebay.com/itm/124881549603?hash=item1d13853923%3Ag%3ACUQAAOSwUzRgi-RZ&LH_BIN=1
The Case: https://pcpartpicker.com/product/wTmFf7/diypc-jax11w-atx-mid-tower-case-jax11-w
The PSU: https://pcpartpicker.com/product/RzQfrH/evga-ba-500-w-80-bronze-certified-atx-power-supply-100-ba-0500-k1
The CPU is still a bit older, but at least we moved on to something that can take DDR4 and is a bit more powerful. Again can't really overclock on it though. For the CPU cooler, I tried to find something with RGB because you mentioned that your brother would like that, but I kept going over budget with it, so I settled on a bright red one instead. The motherboard is fine for what it is going to be used as far as I know. The RAM is overkill, but is also the cheapest I found, so lets call that one good for a future upgrade and its 16GB. The SSD is the same, and should work just fine. The GPU is one of the biggest improvements from the last list. The case is still cheap, but I made sure to include a window so your brother can at least see all the parts and if you wanted to include some RGB in it, can see those too. The PSU is also cheap, but better than the last list with a bit more power to it. I use these on my budget builds and they seem to work great for me.
With these parts you are looking at getting over 100 FPS on ultra settings with Valorant easy, more on lower settings. Also a note on the cost of the GPU. I would recommend, if you have the time, to do some hunting for a GTX 970 as an auction on eBay because I think they go for $180 or less. I just looked for the buy now prices. Also for the part picker prices, I have no idea if there is a cost to ship them to Australia.
All in all, by my calculations, this set up costs just under $546 USD.

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