Can a Big Apple Bagels franchisee use local adaptations of the Marks?

You specifically agree to use the Marks as the sole identification of the Store, but you must identify yourself as the independent owner in the manner prescribed by BAB. You may not use any mark as part of any corporate or trade name or with any prefix, suffix or other modifying words, nicknames, terms, designs or symbols, or in any modified form (including, without limitation, any local or special adaptations or artistic variations of any of the Marks), nor may you use any Mark in connection with the sale of any unauthorized product or service or in any other manner not expressly authorized in writing by BAB. You agree not to register the Marks on the Internet or any other electronic service, including Social Media and mobile marketing applications, or use or register the Marks on the Internet in any other manner. You are strictly prohibited from creating or maintaining a website for your Store, or a website that uses BAB's Marks. BAB has the sole right to create, establish, own, and control the website for your Store. You agree to display the Marks prominently and in the manner prescribed by BAB on signs, forms, and other materials and articles. Further, you agree to give such notices of trademark or service mark ownership or registration and copyrights as BAB specifies and to obtain such fictitious or assumed name registrations as may be required under applicable law. Any and all uses of the Marks will be subject to BAB's prior written approval, and a request for such approval will include such information and samples as BAB may require. You may not use the name "Big Apple Bagels," "BAB," or a derivative of those names in your corporate or other formal name.

Source: Item 13 — TRADEMARKS (FDD pages 57–64)