Transcoding on i5 7th with a GPU

[Da_Dada]

Hi Everyone,

I have recently just came into possession of a HP ProDesk 600 G3 SFF at work via e-waste which came with an i5-7500. I have also chucked a 256GB m.2 SSD into the system.

My main point of contention at the moment is how I should go about getting this to be a transcoding unit for Jellyfin.
So long story short, I already have Jellyfin and other services running on a HP elitedesk mini PC with an i5 10th gen. But at the moment, I am seeing like 10second wait times when trying to watch 4k media, which increases in wait time if I am not on the LAN. What I am questioning is whether it would be better the switch the Jellyfin host from that Mini PC (and let it remain for other homelab services) to this new SFF.
Obviously doing this would require a dedicated GPU to actually make it any better than the mini pc.
So my thoughts for the GPU's are either Intel Arc a310 LP or the NVIDIA T400. 
However, now this comes down to price as well. The Arc is around $190-250 AUD whereas the T400 is about ~$260 AUD. And thats the part where I am stuck on between choosing because I have heard that the Arc is probably the better solution, but it can come with a lot of firmware (or something along those lines) issues due to Arc being newer. 
Or there is a NVIDIA P600 on eBay for like $60 AUD.

The OTHER option that I have is using my brother's old PC which has a GTX 1650 in it (no idea the CPU right this second), and try to bargain him down from $300 AUD which he was asking for the entire system.

Let me know if you guys have any thoughts on what would be the best bang for my buck. Thanks.

[bitmap]

I gotta go with the ARC card, they're beastly. It's the cheapest solution and will last you for a while as it's compatible with a wide variety of codecs. I run Ubuntu and installing the card was a breeze. I recently updated the firmware and it took me less than five minutes, but that part is optional and may not even apply to the card in question.