As others have mentioned - the easiest approach is to have a neutral object in the frame.
I have a good success with using the following
- very cheap gray card
- street signs
- clothing (can vary)
- eyes / hair (can vary)
I am learning to treat them as a “starting point”
The CC module also does offer calibration based on a color checker (or calibrite - used to be xrite) card. This is still on my wish list but I do appreciate the functionality (even I am not utilizing it yet).
At the end - WB is something that is not that strict. It is rather perceptual. I remember @s7habo mentioning in his videos (or here on the forums) that while we can use the tools (this is what they are for) at the end it is what we see with our eyes - what we personally like.
Have you tried selection based on the feathers of the bird (earlier in the post)? Maybe the beak or the foot? Maybe some of these areas would be a good starting point? I don’t think there is a magic solution that would work all the time unless there is a reliable reference (like a calibration card).