What's the goal of each Adam and Claudia?
It seems to me that Adam would like to end time which sounds like he would like to break the cycle while Claudia would like to keep it?
The question is currently unanswerable as the show has been sufficiently vague about what's going on, with additional hints of ulterior motives and things not seeming what they are; enough so that you simply cannot tell right now.
Adam has been talkative but we cannot know if he's been truthful. He has repeatedly stated that he wants to break the time loop, and that he believes the "next" loop (i.e. the one after the events we witness) will be the last one. He's been mostly painted as the villain - but there have been subtle suggestions that Claudia's position is not as do-gooder as the show would have us believe - Adam mentioned this to young Jonas in 1921.
Claudia seems to be driven almost solely by wanting to counter Adam's plans. That doesn't prove she's the good guy in this conflict though. She's adamant and not much is known about her plans. Whatever Adam's true intentions are, it seems reasonable that Claudia is aware of them and wants the opposite. But even that isn't fully clear - maybe Claudia doesn't know Adam's true intentions and they may want the same thing but not realize it (I don't think so, personally, but it's not been disproven yet by the show).