In the sequence $2001, 2002, 2003, \ldots$, each term after the third is found by subtracting the previous term from the sum of the two terms that precede that term. For example, the fourth term is $2001 + 2002 - 2003 = 2000$. What is the value of the $2004^\text{th}$ term in this sequence?

Let's think step by step and output the final answer within \boxed{}.
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