This study is a randomized, double-blind, sham-controlled trial evaluating a personalized approach to repetitive transcranial magnetic stimulation (PrTMS) for the treatment of post-traumatic stress disorder (PTSD) in military service members and veterans. PrTMS integrates spectral electroencephalography (sEEG) with neurocognitive assessments to individualize stimulation parameters, including frequency and intensity, and to allow for dynamic adjustment over the course of treatment based on each participant's evolving neurophysiological profile. Participants will undergo a 6-week treatment protocol (5 sessions per week), followed by longitudinal assessments over 6 months to evaluate durability of response. Multimodal outcomes will include clinician-administered and self-report measures of PTSD, mood, anxiety, and sleep, as well as physiologic and behavioral data collected via wearable devices. This study is designed to determine whether EEG-guided, precision neuromodulation improves clinical outcomes compared to standard, non-personalized stimulation approaches and to inform the development of individualized treatment strategies in PTSD.