Question regarding "Army Primacy" (Italy Focus Tree)

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100thMonkey

Private
7 Badges
Apr 25, 2019
17
11
  • Hearts of Iron IV: Cadet
  • Hearts of Iron IV: Together for Victory
  • Hearts of Iron IV: Death or Dishonor
  • Hearts of Iron IV: Expansion Pass
  • Hearts of Iron IV: Expansion Pass
  • Hearts of Iron IV: La Resistance
  • Battle for Bosporus
After finishing the "Army Primacy" focus (as Italy), I have 1 x 100% research bonus on top of the land doctrines that I'm not researching (so 3 x 100% search bonus), but none for the one that I am searching. The description mention "2 x 100% bonus", so my first question: is it "normal" to get 3?

Also: is getting the search bonuses on the trees I'm not researching the way it's supposed to be (if it is, can someone explained to me the logic behind that)?

Thanks.