Final answer:
The challenges a President faces in office can impact their potential for achieving 'near-great' or 'great' status.
Step-by-step explanation:
The challenges a President faces in office are closely connected to their potential for achieving "near-great" or "great" status. The ability to effectively navigate and overcome these challenges can contribute to their legacy and reputation as a successful President. For example, a President who successfully resolves a major crisis or implements significant policy reforms is more likely to be seen as a great leader.
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