Dubins Forward-Car Global Minimum Curve Solver

Use this endpoint when you need the mathematically proven globally shortest forward-only path for a car-like or UAV agent with a fixed minimum turning radius. Prefer it over general path planners when the non-holonomic constraint (forward motion only, bounded curvature) is fundamental — e.g., fixed-wing UAVs, car-like robots, or surface vehicles that cannot reverse.

• Turn radius below minimum threshold (0.001) returns validation error
• Start or goal coordinates outside allowed range [-10000, 10000] returns bounds error
• Missing required fields (start, goal, turn_radius) returns schema validation error
• Poses with identical position and heading may return a degenerate zero-length path
• Network or payment authorization failure returns 402 Payment Required