The actual key cannot be exfiltrated from the Secure Enclave. All the encryption/decryption is done inside the Secure Enclave. Knowing the owner’s password is just enough to let you pass data through the Secure Enclave to do the appropriate encryption/decryption operations.
So, you can’t copy that key over to a different Secure Enclave. If you could, then it would no longer be a Secure Enclave.