Weil ich die Kultur interessant finde acts as 1 sentence element as a phrase, and you will find the conjugated verb "moechte" in 2nd position. Remember things like prepositional phrases such as "In meinem Zimmer" or "In meiner Freizeit" can also be in first position of a sentence.
moechte is the modal verb in 2nd position of this sentence
besuchen is the verb 2 at the end of the sentence

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