I am fetching emails via POP from another Gmail account and am applying a label @Private to all such emails.
Now, on my private email I also receive emails from services like Bitbucket. So I wanted to filter those emails as well and have created a filter @Bitbucket for all such emails.
However my @Private is now overcrowded with @Bitbucket emails as well, because Google first applies @Private label to all emails fetched via POP, and then additionally labels a few of them as @Bitbucket. All emails that come from Bitbucket now have 2 labels. Obviously I would like NOT to see Bitbucket emails into @Private label directory.
Is there any way to remove @Private label for emails that match @Bitbucket filter rules?