Any organization or institution that wants to be on the right side of history and help rid the world of nuclear weapons can decide to be in ‘compliance’ with the Nuclear Ban Treaty. To have the force of legality behind it, normally it will be the board or trustees or some similar body who will need to agree to this. That body may then oversee the rest of the process or assign a smaller (sub-)committee to do so.
Different types of organization or institution will follow slightly different routes to Treaty Compliance
You may need to adapt the general guidelines offered here to fit particular circumstances. Ideally, similar types of organization or local branches of the same organization can support, learn from, and copy, each other.