notadictionary.com
终究是白宠你了
→ “Finally spoiled you — and it's you...”
终究 zhōng¹ jiū¹ = finally, after all. Shows a sense of inevitability or culmination.
终 zhōng¹ = end, finish — literally 'to reach the end'.
究 jiū¹ = investigate, explore — like digging to the bottom of something.
是 shì⁴ = is/are. Used here for emphasis, like 'it's...'
白 bái² = for nothing, in vain — often used humorously to mean 'unintentionally' or 'without realizing'.
宠 chǒng³ = dote on, spoil — shows affection through pampering.
你 nǐ³ = you (singular). The direct object of the sentence.