There don't seem to be "other parts" that deal with the Cabinet directly unless this is the section being referred to:
The President shall have the power, except where limited elsewhere by this Constitution,
to grant reprieves and pardons for crimes committed under the laws of the Republic of Atlasia, but the Senate may rescind such pardons by a 2/3 vote
to introduce legislation into the queue of the Senate and submit redrafts of legislation they have vetoed;
to appoint, with the advice and consent of the Senate, the Justices of the Supreme Court;
to establish such executive departments as may be necessary for the execution of the laws, and to appoint their principle officers with the advice and consent of the Senate;
to veto acts of Senatorial legislation, and to exercise a line-item veto over the budget;
to appoint, with the advice and consent of the Senate, the vice president in the event of a vacancy in that office;
to serve as Commander-in-Chief of the Armed Forces of the Republic of Atlasia;
to make treaties with the advice and consent of the Senate; and
to authorize limited combat operations without Senatorial approval for a limit of 90 days, with the required support and signature of at least two principal officers of the executive departments, and only in the case of emergencies previously determined by the Senate via appropriate legislation.
Which I think isn't incompatible with the current text of the amendment. Of course Sestak did help write the thing directly so if his suggestion happens to be something I missed an elaboration would be welcome.