Based on the description of the political cartoon from the early 1900s, the three issues the artist is likely commenting on are:
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America's imperialist approach to increase its world power - During this period, the U.S. was expanding its influence overseas, which is a central theme in the context of Roosevelt's foreign policy.
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The Big Stick policy being used to take over other countries - This policy, articulated by Roosevelt, emphasized a strong military presence to enforce U.S. interests and is often associated with American intervention in Latin America and the Caribbean.
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An increase in the power of and use of the American Navy as recommended by Alfred Thayer Mahan - Mahan’s ideas on naval expansion greatly influenced U.S. policy, pushing for a stronger navy to project power and protect American interests abroad.
These issues reflect the broader themes of American imperialism and military expansion during Roosevelt's presidency.