The tenant can leave at anytime without any further liability to rent once a S.21 has been served and it is periodic or the fixed term has ended. They don't have to stay the length of your Notice which landlords often think is the case so that probably answers your question.
The advice I give should not be construed as a definitive answer, and is without prejudice or liability. You are advised to consult a specialist solicitor or other person of equal legal standing. You can hire me for training on a daily basis, see
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