Every ordinance or resolution adopted by Council shall be signed by the President of Council or other presiding officer, attested by the Clerk of Council and presented promptly to the Mayor. If the Mayor approves such ordinance or resolution, the Mayor shall sign and return it to the Clerk of Council within ten days after its adoption by Council, but if the Mayor does not approve it, the Mayor shall return it to Council within said ten days with written objections by delivery to the Clerk of Council, which objections shall be entered in full on the journal of the Council. If the Mayor does not sign or so return an ordinance or resolution within said ten-day period, it shall take effect in the same manner as if the Mayor had signed it. The Mayor may approve or disapprove the whole or any item of an ordinance or resolution appropriating money, but otherwise the Mayor's approval or disapproval shall be addressed to the entire ordinance or resolution. When the Mayor has disapproved an ordinance or resolution, or a part or item thereof as herein provided, the Council shall, not later than its next regular meeting, proceed to reconsider it, and if upon reconsideration the ordinance or resolution or part or item thereof disapproved by the Mayor be approved by the affirmative vote of at least two-thirds of the members of Council, it shall then take effect without the signature of the Mayor in the same manner as if the Mayor had signed it. In all such cases the votes shall be taken by yes's and no's and entered upon the journal.