Answer:
To abstain, either as an individual or group, from using, buying, or dealing with someone or some organization as an expression of protest.
A boiled egg is hard boiled, it is cooked. To beat an egg means to mix the egg yolk and egg white together while the egg is raw and in liquid form. The pun is that it would be hard to beat an egg which is already in solid form, because it is cooked. You can only beat liquid eggs.
Probably some figurative language or cliffhangers but i’m not sure