How do I break into an entry-level strategy role?

Business intuition and creative thinking are only part of the expectations for junior strategy candidates.

Analytical rigor is typically table stakes for these types of roles, especially at entry levels where you may be competing with Business Analyst-types. Junior strategists often run the financial and operational modeling and the detailed quant behind the opportunities that are identified, sized, and recommended. Additionally, strategy positions typically involve case interviews where your interviewers will want to test your comfort and speed with quantitative analysis.

If you have experience you can allude to, make sure you speak to your ownership of those models and analyses. If not, then I would find a way to start doing that type of work.