The correct option is Any user who has write access to the repository.

Creating a branch is a code change action in GitHub. From an issue page the Create a branch control in the sidebar is available to contributors who can push to the repository. This capability does not require administrator or owner status.

Users with triage permission to the repository is wrong because the triage role is focused on managing issues and pull requests and it does not grant the ability to create or push branches.

Only users with admin permissions is wrong because admin is not required for branch creation from an issue and the feature is available to non administrators who have sufficient repository access.

Only repository owners is wrong because ownership is not required to create a branch and contributors who are not owners can still start a branch directly from an issue if they have the necessary access.

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