In this work, we investigate oxygen-reduced strontium titanate (SrTiO₃) using a combination of low-temperature atomic force microscopy (AFM) and scanning tunneling spectroscopy (STS). Our tunneling measurements reveal Image Potential States, providing evidence for the formation of a two-dimensional electron gas (2DEG). Dissipation spectroscopy further uncovers signatures of charge redistribution within the 2DEG sub-bands. By applying a magnetic field, we show that the dissipation response follows Kohler’s rule, allowing us to extract carrier mobilities associated with different electronic sub-bands. These results establish a non-invasive AFM-based methodology for probing and quantifying energy dissipation in quantum oxide systems, providing new insights into charge transport and carrier dynamics relevant to future spintronic and oxide-electronic technologies.