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I have a level 8 alchemist currently running the Giantslayer AP. I have been doing a lot of research about how bombs work and I want to confirm that I am not overlooking something in how I read (or implement) the rules in regards to bombs.
Character: Level 8 ratfolk Alchemist (Grenadier)
Discoveries/Feats: Rapid shot, Fast Bombs
BAB +6/+1
Scenario: I have haste and elect to take a full round attack action. I get the following attacks (BAB without modifiers) +4/+4/+4/-1. I only have 12 bombs a day and I want to conserve my bombs. Therefore I would like to take +4/+4 with my longbow and +4/-1 with my bombs, so that I am not "wasting" a full round attack, nor am I burning through all of my bombs in 3 rounds of combat.
Rationale: Bombs are effected by "two weapon fighting" per Paizo FAQ. That means they must be considered a one handed weapon. Fast bombs allows for multiple bombs to be drawn, mixed, and thrown during a turn. When taking a full round attack, I can choose to use any weapon available to me, in any combination, during the iterative attacks.
How the turn looks mechanistically: Fire two shots with bow. Free action to release one hand from bow. Mix and throw two bombs. Free action to return hand to bow.
Is there anything I am missing? I have already explained my rationale to the GM, but I am hoping for more "concrete" support. Thanks!