Modification to Department of Defense Travel Authorities for Abortion-Related Expenses Act of 2023 This bill requires the Department of Defense (DOD) to provide Congress with a briefing or report that assesses certain DOD policies and practices regarding abortion care for members of the Armed Forces. Among other elements, the briefing or report must assess the legality of DOD implementing policies that allow members of the Armed Forces to seek elective abortions or other medical procedures that are not covered by DOD. The report or briefing must assess the legality with respect to certain existing requirements and prohibitions related to abortion and family planning services. DOD must take necessary precautions to prevent the disclosure of any personal identifiable information of individuals included in the assessment for the briefing or report.