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Deprecate na_sentinel, add use_na_sentinel #46910

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@rhshadrach

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@rhshadrach

Currently specifying na_sentinel=None in pd.factorize will use the sentinel -1 and set (internally) dropna=False. EA's factorize currently doesn't allow na_sentinel being None, and #46601 added the dropna argument to EA's factorize.

It seems best to me to change pd.factorize to match EA's factorize. Tagging as 1.5 since if we are to deprecate, I'd like to get it in.

cc @jbrockmendel @jorisvandenbossche @TomAugspurger

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    API - ConsistencyInternal Consistency of API/BehaviorAlgosNon-arithmetic algos: value_counts, factorize, sorting, isin, clip, shift, diffDeprecateFunctionality to remove in pandas

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