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This is a numbered list.
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I'm going to include a fenced code block as part of this bullet:
Code More Code
You don't have to delete your local branch.
Simply delete your remote tracking branch:
git branch -d -r origin/<remote branch name>
(This will not delete the branch on the remote repo!)
See "Having a hard time understanding git-fetch"
there's no such concept of local tracking branches, only remote tracking branches.