What does Montag's daydream about watching himself get caught by the Mechanical Hound on TV reveal about his mental state?

at this point, he now understands mentally that propaganda had all along been used on him.

Explanation:

Recall, in the story after Montag kills Captain Beatty, he felt unsafe and decided to flee to Faber. When he got to the house of Faber they began watching TV, then he saw the efforts underway to find him, which made him begin to imagine he has captured on television.

After seeing the propaganda about his search on television, he now understands mentally that propaganda had all along been used on him.

lucifer has only once face

the bundle of the sticks, talks about union and how sometimes people need a different point of view. when the father in this story asked his sons to break the bunch of sticks, they could not, but when they grabbed one stick each, it was easier for them to break, because they worked together.

in hofus the stonecutter shows a simple happy working man, but one day when he delivers a load of stone into the house of a rich man, he wishes to be a rich man as well and so the mountain spirit grants him that wish and many others, until he realizes that even getting all his desires and wishes come true, he just needed to be humble and have genuine reason to live and be a better man each day.