That's a bit weird honestly
@Sophia. The scripture only records Gabriel delivering messages from God. There is no indication about whether he is wise at all, or just has a good memory for messages. No wisdom from him is recorded anywhere - he is a messenger.
Even the idea that he is an "archangel" is church tradition, not scripture, which just calls him an "angel" (church tradition labels every angel whose name is mentioned an "archangel", meaning chief angel, on the assumption that if we're told their name they must be important, but that's very shaky logic). All we know is that he is a trusted messenger.