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They added: "We hope the building will be open as normal again soon."
The school of government is home to visiting professors like human rights lawyer Amal Clooney and former prime minister Rishi Sunak.
The building reportedly cost £55m to build and chancellor Rachel Reeves's husband, Nicholas Joicey, is its current chief operating officer.
Businessman Leonard Blavatnik donated £75m towards the school.
Seagulls are known to drop shellfish on the ground to try to break them and experts believe the rock being dropped could be an extension of this behaviour.