What is often used for intelligence operations and is a type of diplomatic mission?

The correct answer is embassies because they serve as the main representation of one country's government in another country and play a crucial role in intelligence operations. Embassies are often involved in gathering information, maintaining relationships with the host country's government, and facilitating various forms of diplomacy. Their official status grants them certain protections and privileges under international law, allowing for secure operations that are vital for a country’s intelligence needs.

Consulates, while also serving diplomatic functions, are typically more focused on assisting citizens and managing certain administrative tasks rather than the broader scope of intelligence operations. Universities generally do not fit within the context of diplomatic missions as they are primarily educational institutions. Foreign Government-Sponsored Enterprises can play roles in international affairs, but they do not function as diplomatic missions in the same way embassies do. Thus, the embassy’s role in intelligence and official representation makes it the most suitable answer.