Will Cruz run 3rd party?
He couldn't even if he wants to. No money and sore-loser laws will keep him off the ballot in most states.
Did he pledge not to like the rest of the GOPee's? if he tries that he will be scorched for good.
Doubt it.
Unless he is so corrupt and is promised a personal multi-million dollar Soros/Clinton offshore account for life, it's beyond unlikely for him to do the third party thing. It makes no sense.