What if the property company restricts the replacement of the access card and the access to the house is restricted?

I think this may be the decision of the property management office, not the decision of the property company. The leader of a property company cannot be so confused. Therefore, I suggest that you make a written reflection of your situation to the leaders of the property company, and at the same time use evidence to explain why you want to apply for more cards. I'm sure your request will be met.