GPU Recommendation for HP EliteDesk 800 G3 SFF

[Kein]

Hello,

I plan to use my HP EliteDesk 800 G3 SFF primarily for Jellyfin (transcoding) and Immich (hardware acceleration). Here are my current system specifications:

OS: Ubuntu 24.04.1 LTS x86_64
Kernel: 6.8.0-51-generic
CPU: Intel i5-7500 @ 3.8GHz
RAM: 2x 8 GB + 2x 16 GB (total 48 GB)
Current GPU: Intel HD Graphics 630
PSU: HP Pavilion 280, 288, 285, and Erica2 - 400W (Part No. 942332-001), with a 6-pin (4+2) PCIe connector
I am considering the following GPUs:

Asus GTX 1650 LP OC for around €100 (182mm length).
ASRock Intel Arc A380 Low Profile 6GB for approximately €120.
MSI GeForce RTX 3050 LP 6GB GDDR6 for €145.
Gigabyte RTX 4060 OC Low Profile 8G GDDR6 128Bit for €327 (requires modifying the HDD compartment for an extra 10mm).
The RTX 4060 requires an 8-pin PCIe connector, but my PSU only has a 6-pin connector.

Would using a 6-pin to 8-pin adapter be sufficient for the RTX 4060 setup?
Which GPU would you recommend for my use case and system constraints?
Thank you for your assistance!

[TheDreadPirate]

If this will only ever be used as a server, the Arc A380 is really the only choice that makes sense. Even more so when considering the prices.