Final answer:
Creon makes a kind gesture towards Oedipus by inviting him to live with him in the palace.
Step-by-step explanation:
Creon makes a kind gesture towards Oedipus at the end of part II by inviting him to live with him in the palace. Creon offers Oedipus shelter and protection, acknowledging his brother-in-law's previous contributions as the king of Thebes. This gesture shows Creon's compassion and desire to support Oedipus in his time of need.