Hello, Jackson, and welcome to the Grammar Exchange.
Normally, we use adverbials with the adverb "before" (meaning "previous") when another past adverbial has already been used, and in that case the verb modified by the adverbial including "before" would be in the past perfect:
- Last week she broke the window I had broken the week before (= the previous week).
That said, I don't see much difference between:
1. She broke the window I broke last week.
2. She broke a window I broke last week.
With "the," there seems to be some emphasis on the window being the same one that had already been broken.
Thank you for your answer, Gustavo. And one more thing I would like to ask. Strictly speaking, we have two different windows with different "glasses". If I want to underline that fact can I use the indefinite article and say
Last week she broke a window I had broken the week before.
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