Congratulating non-Muslims with their Eids

If the disbelievers congratulate us on Eid, can we congratulate them during their festivals? We say: no, it is not permissible to congratulate them on their festivals because this is approving of them, and they are festivals of disbelief. So, it is not allowed for a Muslim to congratulate the disbelievers on their festivals, to support them, provide for them a space to celebrate in, nor donate money for their festivals. It is not permissible to congratulate them or support them in their festivals, as they are festivals of disbelief