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The hybridization is based solely on the amount of "things" around the central atom, whether it's a lone pair or another atom, it will always be the same for a certain amount. So if there are 4 "things" around the central atom like in the tetrahedral or trigonal pyramidal case, the hybridization will be sp3.
Yea to add on, you can write out the molecule in terms of A and x and E to represent the central atom, surrounding atoms and lone pairs, respectively. This allows you to see how many centers of electron density there are and thus be able to write out the corresponding shape and hybridazation.
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