Fixed factory ghost radius (#4337)

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**Add approved & assigned issue number here:**

Resolves #4323 

## Description:

Made stations use euclidean distance for radius for checking if other
stations are close enough, removed redundant if check and unneeded
config

<img width="1920" height="1080" alt="Screenshot from 2026-06-18
14-19-48"
src="https://github.com/user-attachments/assets/a84f29f8-0cc1-46ea-9b96-3d70d6b0b20a"
/>


## Please complete the following:

- [x] I have added screenshots for all UI updates
- [x] I process any text displayed to the user through translateText()
and I've added it to the en.json file
- [x] I have added relevant tests to the test directory

## Please put your Discord username so you can be contacted if a bug or
regression is found:

tktk1234567

src/core/configuration/Config.ts

@@ -243,9 +243,6 @@ export class Config {
   trainStationMaxRange(): number {
     return 110;
   }
-  railroadMaxSize(): number {
-    return this.trainStationMaxRange();
-  }
 
   tradeShipGold(dist: number, player: Player | PlayerView): Gold {
     // Sigmoid: concave start, sharp S-curve middle, linear end - heavily punishes trades under range debuff.

src/core/game/RailNetworkImpl.ts

@@ -251,7 +251,6 @@ export class RailNetworkImpl implements RailNetwork {
 
     const maxRange = this.game.config().trainStationMaxRange();
     const minRangeSquared = this.game.config().trainStationMinRange() ** 2;
-    const maxPathSize = this.game.config().railroadMaxSize();
 
     // A City or Port only joins the rail network when a Factory is already in
     // range (see CityExecution/PortExecution). A Factory always becomes a
@@ -301,15 +300,13 @@ export class RailNetworkImpl implements RailNetwork {
       } else {
         continue;
       }
-
       const path = this.pathService.findTilePath(tile, targetTile);
-      if (path.length > 0 && path.length < maxPathSize) {
+      if (path.length === 0) continue;
       paths.push(path);
       if (neighborStation) {
         connectedStations.push(neighborStation);
       }
     }
-    }
 
     return paths;
   }
@@ -378,7 +375,7 @@ export class RailNetworkImpl implements RailNetwork {
 
   private connect(from: TrainStation, to: TrainStation) {
     const path = this.pathService.findTilePath(from.tile(), to.tile());
-    if (path.length > 0 && path.length < this.game.config().railroadMaxSize()) {
+    if (path.length === 0) return false;
     const railroad = new Railroad(from, to, path, this.nextId++);
     this.game.addUpdate({
       type: GameUpdateType.RailroadConstructionEvent,
@@ -390,8 +387,6 @@ export class RailNetworkImpl implements RailNetwork {
     this.railGrid.register(railroad);
     return true;
   }
-    return false;
-  }
 
   private distanceFrom(
     start: TrainStation,

tests/core/game/RailNetwork.test.ts

@@ -71,7 +71,6 @@ describe("RailNetworkImpl", () => {
       config: () => ({
         trainStationMaxRange: () => 80,
         trainStationMinRange: () => 10,
-        railroadMaxSize: () => 100,
       }),
       x: vi.fn(() => 0),
       y: vi.fn(() => 0),
@@ -250,7 +249,11 @@ describe("RailNetworkImpl", () => {
       pathService.findTilePath.mockReturnValue(mockPath);
 
       game.nearbyUnits.mockReturnValue([
-        { unit: neighborStation.unit, distSquared: 400 },
+        {
+          unit: neighborStation.unit,
+          distSquared: 400,
+          euclideanDist: Math.sqrt(400),
+        },
       ]);
 
       const result = network.computeGhostRailPaths(UnitType.City, tile);
@@ -269,7 +272,11 @@ describe("RailNetworkImpl", () => {
 
       // distSquared = 50 <= minRange^2 (10^2 = 100)
       game.nearbyUnits.mockReturnValue([
-        { unit: neighborStation.unit, distSquared: 50 },
+        {
+          unit: neighborStation.unit,
+          distSquared: 50,
+          euclideanDist: Math.sqrt(50),
+        },
       ]);
 
       const result = network.computeGhostRailPaths(UnitType.City, tile);
@@ -283,26 +290,8 @@ describe("RailNetworkImpl", () => {
 
       stationManager.findStation.mockReturnValue(null);
 
-      game.nearbyUnits.mockReturnValue([{ unit: { id: 1 }, distSquared: 400 }]);
-
-      const result = network.computeGhostRailPaths(UnitType.City, tile);
-      expect(result).toEqual([]);
-    });
-
-    test("skips paths that exceed max railroad size", () => {
-      const tile = 42 as any;
-      const railGridMock = { query: vi.fn(() => new Set()) };
-      (network as any).railGrid = railGridMock;
-
-      const neighborStation = createMockStation(1);
-      neighborStation.tile.mockReturnValue(100);
-      stationManager.findStation.mockReturnValue(neighborStation);
-
-      // Path length >= railroadMaxSize (100)
-      pathService.findTilePath.mockReturnValue(new Array(100));
-
       game.nearbyUnits.mockReturnValue([
-        { unit: neighborStation.unit, distSquared: 400 },
+        { unit: { id: 1 }, distSquared: 400, euclideanDist: Math.sqrt(400) },
       ]);
 
       const result = network.computeGhostRailPaths(UnitType.City, tile);
@@ -314,11 +303,19 @@ describe("RailNetworkImpl", () => {
       const railGridMock = { query: vi.fn(() => new Set()) };
       (network as any).railGrid = railGridMock;
 
-      const neighbors: Array<{ unit: any; distSquared: number }> = [];
+      const neighbors: Array<{
+        unit: any;
+        distSquared: number;
+        euclideanDist: number;
+      }> = [];
       for (let i = 0; i < 7; i++) {
         const station = createMockStation(i);
         station.tile.mockReturnValue(100 + i);
-        neighbors.push({ unit: station.unit, distSquared: 400 + i });
+        neighbors.push({
+          unit: station.unit,
+          distSquared: 400 + i,
+          euclideanDist: Math.sqrt(400 + i),
+        });
       }
 
       stationManager.findStation.mockImplementation((unit: any) => {