In case the Board of Playground and Recreation Commissioners deny any application for a grant under Section 63.08 within thirty (30) days after written notice to the applicant of the denial of the application, any applicant claiming that the action of the Board of Playground and Recreation Commissioners is arbitrary or unreasonable, may appeal from the decision of the Board to the City Council. The City Council shall consider said application and the facts or the circumstances surrounding the same, and the reason for denial of the grant and, if the City Council shall in its discretion determine that the action of said Board is unreasonable and arbitrary, the City Council may issue such grant on the terms and conditions to be prescribed by the Council, provided such terms and conditions do not violate any State law or Charter provisions concerning beach lands, tide lands or waterfront property, and provided further that such terms and conditions prescribed by the Council do not violate the provisions of this article relating thereto.