The phrase "battle for" often refers to a struggle or competition to achieve or attain something. There are many synonyms that can be used to express this idea, including "contest for," "compete for," "fight for," "strive for," "pursue," "seek," "aim for," "work towards," "campaign for," "advocate for," and "chase after." Each of these phrases conveys a slightly different nuance or tone, but all convey the idea of putting in effort and energy to achieve a goal or desired outcome. So, whether you're battling for a promotion, competing for a championship, or striving for personal growth, there are many different ways to express your determination and drive.