Update Healer Man server

src/ui/BalanceLabScreen.tsx

@@ -93,6 +93,26 @@ function buildIdentity(build: SelectableBenchmarkBuildCatalogEntry): string {
   return `${build.source}:${build.classId}:${build.role}:${build.orientation}:${build.talentBuildId ?? "default"}`;
 }
 
+function randomPartyCapacity(builds: readonly SelectableBenchmarkBuildCatalogEntry[]): number {
+  const defaults = builds.filter((build) => build.defaultTalentBuild);
+  const pool = defaults.length > 0 ? defaults : builds;
+  const tanks = pool.filter((build) => build.role === "tank").length;
+  const healers = pool.filter((build) => build.role === "healer").length;
+  const damage = pool.filter((build) => build.role === "damage").length;
+  return damage < 3 ? 0 : tanks * healers * (damage * (damage - 1) * (damage - 2)) / 6;
+}
+
+function cappedRandomPartyCount(
+  builds: readonly SelectableBenchmarkBuildCatalogEntry[],
+  requestedPerSource: number,
+): number {
+  const bySource = new Map<string, SelectableBenchmarkBuildCatalogEntry[]>();
+  for (const build of builds) bySource.set(build.source, [...(bySource.get(build.source) ?? []), build]);
+  return [...bySource.values()].reduce((total, rows) => (
+    total + Math.min(requestedPerSource, randomPartyCapacity(rows))
+  ), 0);
+}
+
 export function BalanceLabScreen({
   onClose,
   executionTarget = "server",
@@ -178,8 +198,9 @@ export function BalanceLabScreen({
     ? selectedBossKeys.length
     : BOSS_TESTING_CATALOG.filter((boss) => bossScope === "all" || boss.category === bossScope).length;
   const coverageBuilds = specSelection === "all" ? automaticBuilds : selectedBuilds;
+  const requestedRandomPartyCount = partyConfigurations * (source === "all" ? 3 : 1);
   const partyCount = specSelection === "random"
-    ? partyConfigurations * (source === "all" ? 3 : 1)
+    ? cappedRandomPartyCount(automaticBuilds, partyConfigurations)
     : coveragePartyCount(coverageBuilds);
   const coveredSpecCount = specSelection === "all" ? automaticBuilds.length : selectedBuilds.length;
   const estimatedRunsPerLevel = partyCount * (seatSweep ? 5 : 1) * bossCount * simulationsPerParty;
@@ -409,6 +430,9 @@ export function BalanceLabScreen({
               ? `${coveredSpecCount} class/spec builds will be covered at least once across the minimum valid party set.`
               : `${coveredSpecCount} selected class/spec builds will be covered; unselected specs fill required party roles.`}
           </p>}
+          {specSelection === "random" && partyCount < requestedRandomPartyCount && <p className="balance-lab-coverage-note">
+            The eligible pools provide {partyCount.toLocaleString()} unique party configuration{partyCount === 1 ? "" : "s"}. Each will run once; identical parties will not be duplicated to reach the requested {requestedRandomPartyCount.toLocaleString()}.
+          </p>}
           {specSelection === "specific" && (
             <section className="balance-lab-boss-picker balance-lab-spec-picker">
               <header>