recovery key

i don’t have my icloud password either

From that I am inferring that you cannot log into your account to generate a new recovery key as proposed in an earlier reply.

From: How to generate a recovery key - Apple Support

- With two-factor authentication (the current security system) and an Apple device, you have the option to generate a recovery key to help improve account security.

- If you forget your Apple ID password and do not know your recovery key, you can try to regain access using your trusted device protected by a passcode.

- "Using a recovery key is more secure, but it means that you’re responsible for maintaining access to your trusted devices and your recovery key. If you lose both of these items, you could be locked out of your account permanently."

- When you generate a recovery key, you can't use account recovery.

See -> Two-step verification for Apple ID

Two-step verification for Apple ID – Apple Support (UK)

👉 scroll to & read -> What if I lose my Recovery Key?

You can sign in to your Apple ID account page and create a new Recovery Key using your Apple ID password and one of your trusted devices.

1 Go to appleid.apple.com/uk.

2 Sign in with your password and trusted device.

3 In the Sign-In and Security section, click Recovery Key > Change Recovery Key.

Keep your new Recovery Key in a safe place. Your old Recovery Key won't work any more and you can't use it to reset your password or access your account. If you can't see Recovery Key in the Sign-In and Security section, then you are not using two-step verification. 

FYI: write down your recovery key and keep it in a safe place.