The appellate record must be filed in the appellate court within 60 days after the judgment is signed, except as follows:
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(a) if Rule 26.1(a) applies, within 120 days after the judgment is signed;
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(b) if Rule 26.1(b) applies, within 10 days after the notice of appeal is filed; or
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(c) if Rule 26.1(c) applies, within 30 days after the notice of appeal is filed.