Final answer:
The organizational structure of the primary care clinic in Pleasantville, which integrates various professional services around specific patient groups, is identified as a service-line structure.
Step-by-step explanation:
The organizational structure described in the scenario is known as a service-line structure. This is because it is organized around specific services or patient groups, such as infants, children, and families, and integrates various professional services like physician and nursing services, neurodevelopmental care, psychological services, and others within that line. In a service-line structure, resources and staff are aligned to the specific services, thus enhancing coordination and specialization of care for the service line's particular patient group.