The phrase "seeks out" means to actively search for something or someone. There are several synonyms that could be used in its place, depending on the context. For example, the words "pursue," "hunt," "scour," "probe," "investigate," and "explore" could all work to convey a sense of actively seeking something. These synonyms suggest a determination to find what is being searched for and imply an urgency or a level of importance attached to the search. With these different options available, the choice of synonym will depend on the tone, context, and desired emphasis of the writing.