Luts that are good for skin tones under mixed light conditions?

I am using a 8bit camera , sony A7iii, to do run and gun styled shooting. Sometimes indoor with warm light, sometimes outdoor with hash sunlight. Are there any luts that will be suitable for each situation? I am leaning towards shooting everything in HLG3 rather than SLOG2 for easier exposure. Right now I edit in resolve and do a color transform to rec709 and do manual treaking after. But I am hoping there are some Luts I can use to speed up the process.