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DEPR: Period[B] #53446

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@jbrockmendel

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@jbrockmendel

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Issue Description

TL;DR: can we deprecate BDay Period(|Dtype|Index|Array) and tell users to use a DatetimeIndex with freq="B" instead?

Context: lots of user confusion has resulted from a) using "freq" for PeriodX to mean something different than it does for DatetimeIndex (#51256, #38885, #47227) and b) using DateOffsets to define PeriodX (#5091, #13871, #38914, #38859).

The option I'm leaning toward to address this is to change/deprecate PeriodX.freq to "unit" (the attribute, the constructor keywords, and asfreq->as_unit). The sticking point I'm finding is in finding a replacement for the current usage period + period.freq * N. For everything except BDay, we could tell users to do something like period + np.timedelta64(N, period.unit) instead (actually just period + N works, but I'd actually prefer to deprecate that).

So I'm wondering if we really need to support Period[B]. Anyone have a strong opinion?

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    DeprecateFunctionality to remove in pandasNeeds DiscussionRequires discussion from core team before further actionPeriodPeriod data type

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