Final answer:
Stage 2 of NREM sleep.
Step-by-step explanation:
The sleep stage described in the given scenario is Stage 2 of NREM sleep.
During Stage 2 of NREM sleep, brain wave patterns consist of sleep spindles and K-complexes, which are characteristic features of this stage. This stage is characterized by deep relaxation of the body and reduced sensitivity to external stimuli. It is also the stage during which individuals might experience drowsiness and drifting thoughts, as described in the scenario.