The members of the governing board of a local public entity may choose by majority vote whether to use, enter into, or require contractors to enter into a project labor agreement that includes all the taxpayer protection provisions of Section 2500 for a specific project or projects awarded by that entity and whether to allocate funding to a specific project covered by such an agreement. A charter provision, initiative, or ordinance shall not prevent the governing board of a local public entity, other than a charter city, from exercising this authority on a project-specific basis.