Is it permissible for a student and a specialized office to seek assistance from offices that write dissertations for students in exchange for a fee, while also teaching the student research methodology?

It is not permissible for a student or a library to prepare research papers, due to the deception, fraud, and falsehood involved in attributing the research to someone other than its actual preparer. As for providing academic references, this can be obtained through several means, such as the internet or by going to libraries that possess these references, and there is no harm in doing so for a known fee.