At first, the two seemed to be friends or at least on good terms with each other, but all of Book's bickering and anger about Taco has annoyed , especially Gaty. At one point, Gaty even admits she doesn't feel like talking to Book. It is shown in "TPOT 1" that they are on somewhat good terms again.
Episodes suggesting a friendship
In "Getting Teardrop to Talk", Book tells Pencil that she wants to be on another team instead of FreeSmart, saying that it's unhealthy for her and Ice Cube. After this, she then immediately decides to join Gaty's team and she responds positively.
In "Why Would You Do This on a Swingset", Gaty and Book are seen discussing how tragic Taco's "death" was.
In "Enter the Exit", Book and Gaty are present in the stinger of the episode - interested in listening to whatever Lollipop is currently talking about.
In "Get to the Top in 500 Steps", Gaty breaks up an argument between Book and Lollipop, suggesting to Book that Dora should do the challenge, justifying that Book wanted to learn more about her. Book positively responds to this idea and they go through with it.
In "The Escape from Four", Book gives her farewells to Taco after she switches back to Battle for BFB, saying that she can tell the gang about her experiences once they get back together. Gaty and Saw can be seen nearby when Book says this, which could imply that they are all friendly towards each other again.
In "You Know Those Buttons Don't Do Anything, Right?", Book asks Gaty if she can stick with her and Saw. Gaty tells Book that she understands she's trying to be better, but it would probably be for the best if she found new friends to be better at. Book is disappointed but accepts her answer, then Gaty and Saw walk away with Gaty saying that she would see Book around.
In "The Liar Ball You Don't Want", Gaty gives Book a confused look when she dips her nachos in Golf Ball's communicator dish that has been filled with melted cheese.
Episodes suggesting a conflict
In "Get to the Top in 500 Steps", Gaty had to intervene in an argument between Lollipop and Book regarding Taco. While she and Book are fine afterward, Gaty does show annoyance having to break the two up.
In "What Do You Think of Roleplay?", after was declared safe in the challenge, Gaty looked mildly annoyed when Book yelled about Taco abandoning the team.
In "Return of the Rocket Ship", after Book proceeded to get angry at Saw for "abandoning" the team, Gaty quickly responds saying that Saw had a "perfectly good explanation" and asks Book what's wrong with her. Book is angered by this and begins yelling, scolding Saw and Gaty for apparently mistreating her and Ice Cube.
Later on in the episode, Gaty pulls Book aside to have a conversation behind a bush about her constant complaining and spying about Taco. Gaty tells her she has turned from one of her most clear-headed friends to an unrecognizable aggressive hothead. They continue to talk, but Gaty eventually leaves because of Book's denial.
In "The Four is Lava", Gaty moans with the rest of about Book having to be brought back to life. After Cake at Stake, Book attempts to talk to Gaty about Dora's elimination, but Gaty says that she really doesn't feel like talking to Book at the moment.