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I might be wrong but I think like 90% of Beato's trick involves tricking us in relation to the time-scale of events.
For Maria's umbrella and the letter she NEVER claimed she got it from Beatrice in the time between when Rosa hit her and the time Rosa + Battler and cie went to find her (referring to arc 1 scenario only, but I could make similar arguments about the others).
Battler actually at first thought she was smart enough to carry an umbrella with her, meaning he wouldn't (for a reason or another) have noticed if she it had beforehand. The letter is even easier to conceal.
As thus... everyone's alibies are reset.
Also in your argument, Natsuhi wasn't everyone's alibi, she left the conference early on.
And Rosa was both the last to be seen near Maria and (tho Battler found her first) the first to be seen again near the rose garden.
... thinking of it it's interesting to think that, supposedly, Rosa was sleeping in the parlor while the meeting supposedly took place.
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