The appellate record must be filed in the appellate court:
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(a) if a motion for new trial is not filed, within 60 days after the date the sentence is imposed or suspended in open court or the order appealed from is signed;
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(b) if a timely motion for new trial is filed and denied, within 120 days after the date the sentence is imposed or suspended in open court; or
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(c) if a motion for new trial is granted, within 60 days after the order granting the motion is signed.