Afaik, universities are private. Specifically, Columbia University is definitely private.
And the ruling you’re talking about has a lot of restrictions which wouldn’t apply here anyway.
You can’t discriminate against cause. If you allow one protest to give speeches in the Quad, I suppose you would be required to give other causes equal access to the Quad.
These students created an encampment, which goes beyond past permitted protests at that university, afaik. I doubt university admin would allow that under any circumstances, even if they agree with the cause, because it sets a dangerous precedent.
But, again, this is a private university. These rules do not apply.