Warrior Brain Health Act of 2022 This bill requires the Department of Defense (DOD) to establish the Warfighter Brain Health Initiative to unify efforts and programs across DOD to improve the cognitive performance and brain health of members of the Armed Forces. DOD must submit a report to Congress setting forth a strategy and implementation plan to achieve the objectives of the initiative. Additionally, DOD must include a budget justification display for activities relating to the initiative in budget justification materials submitted for FY2025-FY2029.