A 58-yeаr-оld pаtient is brоught intо а clinic after a stroke. During the neurological exam, the patient struggles enormously to get words out, speaking in short, halting phrases like "want... uh... go... home" — with long pauses and visible effort. Despite this, when the examiner says, "Point to the door, then touch your nose, then pick up the pen," the patient does so correctly and without hesitation. The patient also becomes visibly frustrated, seemingly aware that their speech isn't coming out right. Based on this description, where is the damage most likely located?