I want to push all the broadcast conversations to unassign bucket, Shall i do it?

I want to push all the broadcast conversations to unassign bucket, Shall i do it?

Based on a request from Acmacorp client, we are going to enable an option in "reply-to" where the client can define whether to push the conversations to a TEAM or unassigned bucket. However please note this option is available only for notification messages which mean integrated conversations, Such as FB and so on