The correct conjugation in Preterite Tense of the verb between parentheses is:
Preterite Tense in Spanish.
The conjugation of the verb "cocinar" in preterite tense, taking into account the personal pronouns is:
Since the sentence uses as a noun "mi madre," which can be replaced by the personal pronoun "ella," the appropriate conjugation based on the guide above is "cocinó."
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