Can I extend my TR visa without a landlord or embassy letter if my student visa starts on July 21?

The user is looking to extend their TR visa, which is about to expire, but prefers not to obtain a letter from their landlord or the embassy. They are inquiring whether an immigration officer would allow a 13-day extension by presenting an air ticket for departure on July 21. One commenter indicates that obtaining a short extension may not be possible without proper documentation, including the consulate letter.