I've created a fresh image based on LE 12.0.0 and Kernel v6.9.8.
The card is detected and functional.
Getting around ~220mb/s up/down which is not bad for 25 SGD$ and running on a Intel J4205
[ 1.531854] r8169 0000:04:00.0 eth1: RTL8126A, 88:c9:b3:b4:05:ff, XID 649, IRQ 128
[ 1.531868] r8169 0000:04:00.0 eth1: jumbo features [frames: 9194 bytes, tx checksumming: ko]
[ 243.162479] r8169 0000:04:00.0 eth1: Link is Up - 2.5Gbps/Full - flow control off