```ts
export function lineChokePoint(stations: Array<[string, number, number]>): { station: string; output: number } {
  if (stations.length === 0) {
    throw new Error("Station list cannot be empty");
  }

  let chokePoint: [string, number] = ["", Infinity];
  for (const [name, machines, rate] of stations) {
    if (typeof name !== "string" || name.trim() === "") {
      throw new Error("Station name must be a non-empty string");
    }
    if (!Number.isInteger(machines) || machines <= 0) {
      throw new Error("Machine count must be a positive integer");
    }
    if (!Number.isInteger(rate) || rate <= 0) {
      throw new Error("Rate per machine must be a positive integer");
    }

    const capacity = machines * rate;
    if (capacity < chokePoint[1] || (capacity === chokePoint[1] && stations.indexOf(chokePoint[0]) > stations.indexOf(name))) {
      chokePoint = [name, capacity];
    }
  }

  return { station: chokePoint[0], output: chokePoint[1] };
}
```