The Supreme Court primarily participates in matters of foreign policy through its role in performing judicial review, particularly in cases involving constitutional law and disputes between branches of government or involving international law. This would correspond to option:
B) by performing judicial review in cases involving constitutional law between branches and other nations.
While the other options mention aspects of foreign policy, they do not accurately reflect the Supreme Court's judicial role in relation to the legislative and executive branches. The Court does not oversee appropriations (A), directly determine presidential military action (C), or approve treaties (D), which is the Senate's responsibility.