Breakthrough Therapies for Veteran Suicide Prevention Act; fund and council established; report. Establishes the Breakthrough Therapies for Veteran Suicide Prevention Fund (the Fund) to provide funding to support clinical research and implementation of FDA Breakthrough Therapies, defined in the bill, for the treatment of post-traumatic stress disorder, treatment-resistant depression, major depressive disorder, and traumatic brain injury. Under the bill, the Fund shall be used to (i) establish public-private partnerships to jointly fund Phase III clinical trials of FDA Breakthrough Therapies; (ii) conduct investigator-initiated clinical trials; (iii) establish a compassionate use program; (iv) create education and training opportunities for mental health professionals; (v) begin patient access pilot programs; and (vi) conduct implementation studies for best practices, cost-effectiveness, and methods to reduce treatment costs. The bill also establishes the Breakthrough Therapies for Veteran Suicide Prevention Advisory Council to advise the Department of Health on administration of grant funding or contracting to carry out the purposes of the Fund. Finally, the bill requires the Board of Pharmacy to amend its regulations to designate, reschedule, or deschedule a controlled substance in accordance with federal law after the expiration of 30 days from the publication in the Federal Register of a final or interim final order or rule.