The Earth is scientifically confirmed to be an oblate spheroid, not flat. However, for the sake of this hypothetical exercise, let’s explore the scenario within a flat-Earth framework. Below is an analysis of the flight path and navigational challenges:

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### **Hypothetical Flight Path (Flat-Earth Model)**
In most flat-Earth models, the "ice wall" of Antarctica encircles the outer edge of a disk-shaped Earth, with the North Pole at the center. A straight-line flight path would extend radially from the center (North Pole) to the perimeter (Antarctic ice wall). This would resemble a spoke on a wheel-like map.

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### **Key Navigational Challenges (Flat-Earth Assumptions)**
1. **Extreme Distance**:
   - In flat-Earth models, the Antarctic ice wall is often depicted as being **thousands of miles farther from the North Pole** than in reality. For example, some models suggest a radius of ~10,000–12,000 miles (16,000–19,000 km), far exceeding the actual polar-to-Antarctic distance (~12,500 miles/20,000 km on a spherical Earth). Most drones lack the fuel capacity or endurance for such a journey.

2. **Navigation Without GPS**:
   - GPS satellites orbit a spherical Earth, relying on a global coordinate system. A flat-Earth drone would need an alternative navigation method (e.g., dead reckoning, celestial navigation, or ground-based beacons), which would be error-prone over long distances.

3. **Compass Reliability**:
   - In flat-Earth models, a magnetic compass would point toward the North Pole (center), making "south" a radial direction outward. Maintaining a straight path would require constant heading adjustments to counteract magnetic drift or anomalies.

4. **Environmental Extremes**:
   - The drone would traverse increasingly harsh conditions, including extreme cold, high winds, and potential storms near the Antarctic perimeter. These could destabilize the drone or damage its systems.

5. **Communication and Control**:
   - Line-of-sight radio signals would degrade over such a vast distance. Satellite relays (which orbit a spherical Earth) might not exist in this model, requiring alternative infrastructure.

6. **Fuel/Power Management**:
   - Current drones cannot carry enough fuel or batteries for a multi-day flight at high speeds. Solar power would be unreliable near the poles due to seasonal darkness.

7. **Uncharted Territory**:
   - In flat-Earth logic, the Antarctic ice wall is unexplored and unregulated. The drone might encounter unknown obstacles (e.g., ice cliffs, electromagnetic interference, or "edge effects").

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### **Reality Check: Spherical Earth Challenges**
If we address the question in the real world (spherical Earth):
- **Flight Path**: The shortest route would follow a **great circle** over the Southern Ocean, appearing curved on flat maps.
- **Challenges**:
  - **Polar Navigation**: Magnetic compasses become unreliable near the poles; gyroscopic or satellite systems are required.
  - **Weather**: Blizzards, icing, and low visibility in polar regions.
  - **Airspace Regulations**: Overflight permissions and international treaties (e.g., the Antarctic Treaty System).
  - **Fuel Stops**: No airports exist at the pole or on the Antarctic coast, requiring aerial refueling or specialized logistics.

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### **Conclusion**
While the flat-Earth model presents a simplistic "straight line" concept, practical challenges like distance, navigation, and environmental extremes make the mission implausible with current technology. In reality, spherical Earth dynamics dominate aviation planning, emphasizing the importance of accurate geospatial understanding for navigation.