Easy NRA question for Bindusara

Dear all,

Can Bindusara go for both "Elder Library" and "Fragment of the Book of Nod" in the same turn if he could unlock by anyway?
I would say yes because :
- First action would be "Bindusara can take an action to allow you to search your library for Elder Library and put that card in play"
- Second action would be "Bindusara can take an action to allow you to search your library for Fragment of the Book of Nod and put that card in play"

Card text:
Name: Bindusara, Historian of the Kindred
Cardtype: Vampire
Camarilla: Bindusara can take an action to allow you to search your library for an Arcane Library, Elder Library or Fragment of the Book of Nod and put that card in play. (Pay cost as normal.) Shuffle your library afterward. +1 bleed.

Extra question, as the text say to put in play those master cards, I assume clan requirement is not checked so Arcane Library can be search and put into play even if I don't control any ready Tremere Vampire.
Am I right?

Thanks in advance.
Regards,
Rémi.

I think he can't. The action is to search for either of those three - you do not have to announce which of those you are getting, that will be revealed as soon as you have searched your library. Therefore the actions are not distinct from one another, and the source granting the action is the same, so it is subject to NRA.

Since the card is put into play its requirements are not checked. So you can put an Arcane Library into play if you have no Tremere (compare Summon History).