Increase coalition condition to 2/3 share to avoid three-way-tie case

src/core/game/TeamAssignment.ts

@@ -180,7 +180,10 @@ export function computeClanTeamName(players: PlayerInfo[]): string | null {
   // Coalition: top two clans cover the majority of humans
   if (sorted.length >= 2) {
     const [secondTag, secondCount] = sorted[1];
-    if ((topCount + secondCount) / total > 0.5) {
+    if (
+      (topCount + secondCount) / total > 2 / 3 &&
+      secondCount / total >= 0.25
+    ) {
       return `${topTag} / ${secondTag}`;
     }
   }

tests/TeamAssignment.test.ts

@@ -218,6 +218,11 @@ describe("computeClanTeamName", () => {
     expect(computeClanTeamName(players)).toBe("ALPHA / BETA");
   });
 
+  it("returns null when three distinct clans each hold one player", () => {
+    const players = [human("1", "ALPHA"), human("2", "BETA"), human("3", "GAMMA")];
+    expect(computeClanTeamName(players)).toBeNull();
+  });
+
   it("returns null when no players have clan tags", () => {
     const players = [human("1"), human("2"), human("3")];
     expect(computeClanTeamName(players)).toBeNull();