What is the authenticity of the hadith: “Beware of the cold, for it killed your brother Abu al-Darda’”?

The Shaykh : ... It is not permissible to attribute it to the Messenger (peace be upon him) because its invalidity is clear. It may be considered a piece of wisdom, but the meaning contained in it invalidates it, and it is not correct in any way to attribute it to the Messenger (peace be upon him); because it contradicts the historical reality which is established with certainty. The wording of the hadith is: So up to this point there is nothing wrong, but look at the completion: , and Abu al-Darda’ died after the Messenger (peace be upon him)...! Yes, that is right.
One of the methods used by hadith scholars to detect the lying of some narrators is that one of them narrated from a person among the trustworthy and precise hadith scholars. So one of the intelligent scholars asked this narrator, saying to him: Where did you meet him? He said: In such-and-such a place—perhaps he mentioned Mecca or Medina. He said to him: In which year? He said: In such-and-such a year. He said: He died before that by several years!! This is of that nature; , and Abu al-Darda’ lived for many years after the Messenger (peace be upon him).