In organic chemistry, the hybridization of an atom plays a critical role in determining the shape and reactivity of molecules. Consider a hypothetical organic molecule that has the following functional groups: -OH (hydroxyl) and -COOH (carboxylic acid). The carbon atom in the -COOH group is directly bonded to another carbon atom. What is the hybridization state of the carbon atom in the carboxylic acid group?
Furthermore, how does this hybridization influence the molecule's geometry and its ability to participate in hydrogen bonding?