The gist is clear: A person who has taken an oath as an “officer of the United States” and then has “engaged in insurrection or rebellion” cannot “hold any office, civil or military, under the United States” unless two-thirds of Congress votes to allow it.
But Congress may by a vote of two-thirds of each House, remove such disability.” “No person shall be a Senator or Representative in Congress, or elector of President and Vice-President, or hold any office, civil or military, under the United States, or under any State, who, having previously taken an oath, as a member of Congress, or as an officer of the United States, or as a member of any State legislature, or as an executive or judicial officer of any State, to support the Constitution of the United States, shall have engaged in insurrection or rebellion against the same, or given aid or comfort to the enemies thereof.