then the decision of the Tax Court rendered upon such rehearing shall become final in the same manner as though no prior decision of the Tax Court has been rendered.
then, upon a motion by the petitioner in such case in which such time for payment of tax has been extended under section 6166, the Tax Court may reopen the case solely to modify the Courts decision to reflect such estates entitlement to a deduction for such administration expenses under section 2053 and may hold further trial solely with respect to the claim for such deduction if, within the discretion of the Tax Court, such a hearing is deemed necessary. An order of the Tax Court disposing of a motion under this subsection shall be reviewable in the same manner as a decision of the Tax Court, but only with respect to the matters determined in such order.
If for any reason no subparagraph of the preceding sentence applies, then such decisions may be reviewed by the Court of Appeals for the District of Columbia. For purposes of this paragraph, the legal residence, principal place of business, or principal office or agency referred to herein shall be determined as of the time the petition seeking redetermination of tax liability was filed with the Tax Court or as of the time the petition seeking a declaratory decision under section 7428 or 7476 or the petition under section 6226, 6228 (a), or 6234 (c), was filed with the Tax Court.
If as a result of a waiver of the restrictions on the assessment and collection of a deficiency any part of the amount determined by the Tax Court is paid after the filing of the appeal bond, such bond shall, at the request of the taxpayer, be proportionately reduced.