All psionic classes are confusing so I think I will be forgiven for asking a question about them.
The Medium Champion Intermediate power is
Whenever you take a full-attack action, you gain one additional attack at your highest base attack bonus. This ability stacks with the extra attack from haste, but it doesn’t stack with special actions that grant extra attacks, such as flurry of blows or spell combat. Sudden attack works as normal with full-attack options such as twoweapon fighting.
If you have 2 Claw attacks and a Bite Attack, does that power get you a 4th Natural Attack?
Occult or psychic. Psionic is 3.x.
& yes IMO, it isn't an extra attack from BAB. Natural attacks work with haste, they should work with this.
Yes, the ability to attack with all your natural weapons comes form a general rule and is simply done as the normal full-attack action (just like the TWF that is explicitly allowed), not as a "special actions that grant[s] extra attacks". So yeah, four attacks.