Institutions can't lose the game they have created.1 As a consequence, school for instance will never give you the tools to be critical of school, or even deeper, live in a manner which is independent of all institutions
Institutions spread the worldviews within which to think about our world, which will always favor the institutions in an important way. For instance, the core belief that the system is necessary for all of our activities, and the various dichotomies in discourse like left vs right (both of which are proponent of the system, just in different ways)
Institutions always want to stay alive, no matter how irrelevant or corrupt they have become, and even if that implies sustaining the very same problem they are supposed to eradicate, known as the Shirky principle
Because of this, the fact that they try to preserve themselves even if they no longer address the problems they are supposed to solve, when threatened to a significant degree, they will resort to crude actions such as:
Creating excessive agitation to exaggerate how bad the situation is, such as with anthropogenic climate change2
Propaganda to convince people that their institution is the single most important structure in the world - academia and charities do this a lot
Reinforce top-down control and curtail any sense of freedom, such as with the covid measures
All of this to say that institutions prioritize their survival above everything else, and will not hesitate to play dirty if the funds or support start running out. I am not talking here about conspiracy theories, I am talking about incentive structures in a world where one small group of people can optimize for its benefits at the expense of everyone else, and where not playing that game simply leads to someone else taking the place in power, i.e. the rules for rulers.