Why does it have to avoid violating the Third Law at all? Newton's laws are not really laws, but simply an approximation and are known to be incomplete. There are a variety of situations where they don't apply.
Telekinesis is, by definition, "spooky action at a distance," so we're already throwing Newtonian physics out the window by invoking it and moving into more accurate descriptions of the world such as quantum mechanics and relativity.
The best way for your telekinetic heroes to avoid the 3rd law is to reframe telekinesis not as imparting a force, but as changing the reference frame definition of the action. Newtonian mechanics are only valid in inertial reference frames, so the easiest thing to do is to say telekinesis creates a non-inertial reference frame.
The most common example of this is gravity. An object in a gravitational field doesn't feel a force of gravity acting on it, it feels an acceleration. A force is defined as F=ma, meaning that the force an object "feels" is affected by the mass of another object pushing it. To figure out how an object moves in response to a force, you divide the force by its mass and get the acceleration: a = F/m.
But gravity works differently. Regardless of an object's mass, it always experiences the same acceleration; a feather and a hammer fall at the same speed and hit the ground at the same time when dropped from the same height in a vacuum. This fact is why scientists often call gravity a "fictitious force," in that it is indistinguishable from an acceleration caused by any other means (rocket, elevator, guy pushing you down the street, etc...). When you're in freefall towards the Earth, you're not pushing on the Earth, nor is it pushing on you, you're merely accelerating towards each other. Newton himself noticed this disturbing fact about gravity but said "leave it to someone else to figure out." Eventually, Einstein did, and he found that objects always want to move in "a straight line" between two points, or more accurately, "the shortest-time path." This is called a brachistochrone. It turns out that gravity is a manifestation of this fact, in that the definition of "the shortest-time path" takes on a curve when matter is present. This curving of space-time immediately invalidates Newton's first law: Namely that an object at rest must remain at rest or travel in a straight line unless acted on by a force. With gravity, the object cannot obey Newton's first law and must move, even though a force isn't acting on it! The second law also immediately falls, as it states that "the momentum of an object doesn't change without the application of a force." Momentum is equal to the mass times the velocity of the object, but here we're imparting a velocity, simply by the fact that we're near an object, even without touching it! As mentioned previously, in freefall neither you nor the Earth exhibit forces on each other, you just accelerate towards each other. This invalidates Newton's third law.
The entire reason gravity is so weird and scary is because it imparts an acceleration on objects without the presence of a force! It does this by literally changing the rules of the game (by warping the stage, space-time, so that is no longer flat). This is also one of the reasons its so difficult to unify with the other forces.
So, the best thing for your telekinetic physics is to say that it bends space around the object it acts on to cause it to "fall" in the desired direction under the influence of a kind of gravitational field.