Western Hemisphere Security Strategy Act of 2022 This bill requires the Department of State and the Department of Defense (DOD) to implement a multiyear Western Hemisphere Security Strategy. The strategy must include elements such as (1) a proposal for increasing U.S. bilateral and multilateral security assistance and cooperation in Latin America and the Caribbean, (2) activities to counter malign influence from state actors and transnational criminal organizations, (3) efforts to expand bilateral and multinational military training exercises with partner countries, (4) humanitarian assistance and disaster relief initiatives, (5) continued support for State Department programs to ensure the safety and rights of women and girls, and (6) a detailed assessment of the resources to carry out the strategy. The State Department and DOD must jointly report the strategy to Congress and also provide periodic briefings on the strategy's implementation. The State Department must also report to Congress on efforts by the Maduro regime of Venezuela to detain U.S. citizens and lawful permanent residents. The authorities provided under this bill shall terminate three years after this bill's enactment.