After 25x Firings of Boff Firing Mode: Torpedo Spread 3 w/ Entwined Tactical Matrices triggering Beam Fire at Will 1 and Cannon Scatter Volley 1, the Active Space Duty Officer: Vincent Kish, Weapons Expert proc'd 0% of the time.
After 25x Firings of Boff Firing Mode: Beam Fire at Will 1 w/ Entwined Tactical Matrices (triggering Torpedo Spread 1), the Active Space Duty Officer: Vincent Kish, Weapons Expert proc'd 25% of the time; Upgrading Beam Fire at Will to II.
After 25x Firings of Boff Firing Mode: Cannon Scatter Volley 1 w/ Entwined Tactical Matrices (triggering Torpedo Spread 1), the Active Space Duty Officer: Vincent Kish, Weapons Expert proc'd 33.33% of the time; Upgrading Cannon Scatter Volley to II.
A modest test but indicative that this duty officer "25% chance on using Energy Weapon Firing Mode I or II to use II or III instead" does not work with the triggered firing mode when using Entwined Tactical Matrices: "When activating Torpedo Spread: *Applies Fire at Will 1 and Scatter Volley 1 to self"
When Entwined Tactical Matrices triggers Beam Fire at Will 1 and Cannon Scatter Volley 1 - their triggering through Entwined Tactical Matrices deserve to proc the duty officers Active Space ability, as the "Energy Weapon Firing Mode" criteria is met, even though Torpedo Spread # firing mode was used to initiate.
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#LegalizeAwoo
A normie goes "Oh, what's this?"
An otaku goes "UwU, what's this?"
A furry goes "OwO, what's this?"
A werewolf goes "Awoo, what's this?"
"It's nothing personal, I just don't feel like I've gotten to know a person until I've sniffed their crotch."
"We said 'no' to Mr. Curiosity. We're not home. Curiosity is not welcome, it is not to be invited in. Curiosity...is bad. It gets you in trouble, it gets you killed, and more importantly...it makes you poor!"
This is not the only trait that does this sort of thing and bonus triggers do not count on the other relevant doff abilities either.
You may not like it, but that's just the way the game works.