Is the visa for studying abroad generally reviewed by the national local immigration bureau?

I want to tell you something about the visa for studying abroad. I know the procedures of Schengen countries in Europe are as follows:

The applicant applies for a visa with information.

(The information process in the middle is omitted! )

After the applicant receives the visa information, the embassy will verify the investigation with the immigration bureau (foreigner police station) of the country.

If the immigration bureau agrees to the examination and approval, the right to issue is in the hands of the consulate.

If the immigration department does not agree to the examination and approval, then the consulate will certainly not grant a visa.

The audit is accepted by the Immigration Bureau of your school.