Need to create a Recovery Key but... I don't have the password of the laptop (the 2nd factor authentication)

Which laptops are you describing? The MacBook Pro, or...?

You should probably describe what you're working with, but in general you do not recall a Mac's login password it needs to be reset. Start here: If you forgot your Mac login password - Apple Support and proceed all the way through its many steps to its ultimate conclusion, which is to erase the subject Mac. Then, reinstall macOS and everything else including the creation of a User Account with a name and password, and you'll be all set.

As mentioned earlier, could you post some background on what are you trying to do?

Recovery Key is associated with an Apple Account, and is only indirectly related to a Mac login password.

Recovery Key blocks all means of resetting a forgotten Apple Account password except those with the key.

Recovery Key does not help with a forgotten Mac login, and is not related to two-factor authentication.

Overview of Apple Account security: Better Securing Your Data, and Apple Acco… - Apple Community

It sounds like the OP might be trying to reset a Mac login password and is being prompted to enter the File Vault Recovery Key.

• If asked to enter your FileVault recovery key, enter the string of letters and numbers you received when you turned on FileVault and chose to use a recovery key.

Source:

If you forgot your Mac login password - Apple Support