In all districts, the Board of Standards and Appeals may modify the provisions regulating the location of accessory off-street parking spaces provided off the site, in accordance with the provisions of this Section which are applicable in the specified district. However, in no event shall accessory off-street parking spaces be permitted off-site in a public parking garage.

This Section shall not apply to the Manhattan Core where the regulations set forth in Article I, Chapter 3, shall apply.

In all cases, the Board may impose appropriate conditions and safeguards to minimize adverse effects on the character of the surrounding area.