This 24-minute lecture on "Quantum Stochastic Thermodynamics in the Mesoscopic-leads Formulation" is presented by Laetitia Paula Bettmann as part of the "Quantum Trajectories" program at the International Centre for Theoretical Sciences. Explore advanced concepts at the intersection of quantum mechanics and thermodynamics, specifically focusing on the mesoscopic-leads formulation. The lecture is part of a broader program running from January 20 to February 7, 2025, which addresses central theoretical questions in quantum-based technologies including quantum trajectories, quantum control, measurement-induced phase transitions, and quantum information and computation. Gain insights from this specialized presentation that contributes to the "second quantum revolution" where theoretical physics and applied mathematics collaborate closely with experimental approaches to advance quantum technologies.