ERC-4337 and recovery

I am reading about how account abstraction and ERC-4337 can enable "social" recovery using pre-designated accounts who can help you with the recovery in case you lose your keys. Some things in this process are not clear to me though.

As an example, suppose I have an ERC-4337 account and I have designated a friend of mine who can help me recover my account in case I lose my private key.

1. I lose my keys and ask my friend to invoke the recovery in the smart contract.
2. My friend using his key invokes the recovery function in the smart contract
3. My account's public key is rotated and instead of public key A, my account is now designated to use public key B.

If I understood the above correctly, how do I get the new private key that corresponds to the new public key B? Do I create a key pair before my friend does the recovery and tell my friend to invoke the recovery function using public key B as input?