Final answer:
The correct vocabulary word is 'inextricably' and it means closely connected or intertwined.
Step-by-step explanation:
The correct vocabulary word to fill in the sentence is inextricably. The sentence states that the talk will turn into a fight if they don't find common ground. The word 'inextricably' means that the talk is closely connected or intertwined with the possibility of turning into a fight if they can't find common ground.
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