The affidavit is not a proper document to transfer immovable property from the property owner to any person of his choice.
Also the affidavit is not an alternative nor a codicil to an existing Will.
Therefore the beneficiary of the Will can proceed to enforce the bequest made in the Will as per procedures of law.
The other people so named in the affidavit cannot claim any share in the property on the basis of an affidavit, no such claim is legally tenable.