Just create a second LUT and apply it after the first one. It should not affect the behaviour of the first LUT unless it is modifying the same color, and if that is the case you want it to modify that color anyway. LUTs can be stacked, it’s pretty neat, and really easy in After Effects of Resolve.
I tried it, I cropped out just the yellow block and did a color match, and then apply it on top of the first LUT in photoshop, but the whole image turned greenish.
target:
reference:
result after global LUT + shoe LUt: