Conditional formatting based on checkboxes in 2 other cells

I currently have conditional formatting programmed in column C based on if Column G and H are blank or not in 3 scenarios. The sheet is setup as a table. I'm trying to apply the formatting to the whole table.

Highlight red if both blank: =AND(ISBLANK(G4), ISBLANK(H4))

Highlight yellow if one blank: =OR(ISBLANK(G4), ISBLANK(H4))

Highlight green if neither blank: =AND(NOT(ISBLANK(G4)), NOT(ISBLANK(H4)))

I would like to put checkboxes in those cells instead of blank vs "ok". But putting checkboxes makes everything green since they aren't blank.

I tried different variations of =AND(=G4=FALSE, =H4=FALSE) for red, but it gave an error and I couldn't save it.