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It follows the same logic as the bonds. The oxygen has a hybridization of sp2 (two being lone pairs) because it is connected to three areas of electron density; each lone pair will have that hybridization because they are electrons in hybridized orbitals, same as if they were bonded
If it makes it easier to understand, think of the hybridization as something akin to the shape of the molecule. sp3 means there are 4 regions of e- density, meaning the shape can be AX4, AX3E, AX2E2, ect. This means that you can almost name a molecule as a tetrahedral by knowing that its hybridization is sp3, assuming there are no lone pairs.
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