Does Tactician proc when firing from my mobile firing arc on the Shadow Caster?

Tactician:

After you perform an attack against a ship inside your firing arc at Range 2, that ship receives 1 stress token.

Mobile Firing Arc

Ships like the Shadow Caster have a mobile firing arc, which occupies any one of the four quadrants indicated by the solid lines printed on its ship token. The quadrant that the mobile firing arc currently occupies is indicated by the facing of the pointer. When a ship with a mobile firing arc is placed into the play area during setup, select one of its four quadrants and assign the mobile firing arc to that quadrant, and move the pointer to face the selected quadrant to indicate the mobile firing arc's position. The mobile firing arc occupies the entirety of the selected quadrant.

When attacking with its primary weapon, a ship with a mobile firing arc may attack an enemy ship that is at Range 1-3 and inside its primary and/or mobile firing arc.

When attacking with a secondary weapon, the ship must still target an enemy ship inside its primary firing arc (unless otherwise specified on the Upgrade card).

Yes.

The mobile firing arc is an arc for the purposes of anything that calls out a generic arc (e.g. Tactician, Zeb crew, Autothrusters). It's not a primary, auxiliary, or special arc.

Drive-by citation:

Q: Do firing arcs that are not primary firing arcs (such as an auxiliary or special firing arc) count as firing arcs for card abilities such as “Backstabber” or Outmaneuver?

A: Yes.

Doesn't specifically mention Tactician, but it should be pretty clear from this question that if an ability just says "firing arc" not otherwise specified, any firing arc counts.

unless it specifies a specific firing arc any "in arc" rules proc off all arcs.

Which is rather annoying trying to play outmaneuver SFs against a ship with rear arcs or in this case a mobile arc. Rather hard to get outmaneuver to proc lol