There are some huge problems with the pacts in Diplomacy.
Advent Beam Pact: Says it increases the damage of all beam weapons, but it applies the damage increase to Vasari Pulse Beams, not regular beams.
Vasari Armament Pact: Says it reduces the cooldown of all weapons, but it only benefits Wave weapons.
TEC Missile Pact: Just like Advent Beam Pact, it applies to the Vasari version of the weapon, granting the damage bonus to Vasari Phase Missiles.
Essentially this means there's no reason for Advent to make a Beam Pact with TEC, as nobody will benefit from it. This also means the TEC won't benefit from Missile Pacts, and only Vasari benefit from the Armament Pact since they are the only ones with Wave weapons.