Is the game of secretly exchanging gifts on Eid, where the giver of the gift is guessed, permissible in Sharia?

The game "Secret Santa" is connected to an invalid, innovated celebration, and it is not permissible to imitate the disbelievers in their celebrations, due to the Prophet's (peace and blessings be upon him) saying: "Whoever imitates a people is one of them." It is obligatory to turn away from this game and to warn Muslims about it.