Apartment Office Is Threatening To Evict Us For Petting A Stray Cat [us,mo]

Location: United States, Missouri
TL;DR: lease contract says don't feed stray cats or you're in violation, so we stopped after being asked to. Now landlord is saying just petting a stray cat is in violation, even though that is not written anywhere on the contract. Do they have legal grounds to evict us?
There is a stray cat living around the clubhouse/office of our apartment complex. Many residents, including myself, have taken up caring for it because she is a very sweet cat. The office staff have started telling people feeding it is a violation of their lease, per this clause here. Fair enough. However, we have stopped feeding it. We just go to pet her. Now the office staff are moving the goal post and saying interacting with it is a violation of our lease too. Did you see anything about petting in that screenshot? I didn't - only no feeding. And yes, I searched the rest of the contract to make sure there were no other clauses anywhere else about stray cats.
It is to the point that they are threatening to evict us for interacting with the cat. Thus, my question is this: do they have any legal ground to stand on to do this? They are now threatening us for something that is not explicitly stated in our lease contract. We abide by the written terms, but now they're extending the rules to something that isn't written. This cat has won the hearts of so many tenants that many are acting in defiance of the office.
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