The Kansas Board of Regents is established by the legislature, correct? That makes it a public institution, subject to the 1st amendment (through incorporation

The Kansas Board of Regents is established by the legislature, correct? That makes it a public institution, subject to the 1st amendment (through incorporation under the 14th amendment to apply to the states, and applying to a State's board of regents as a proxy of the legislature set up to deal with higher educational matters).