save/e2e: #51 — wire generateRing attach into resolveJumpTask + spread-limit e2e

- resolveJumpTask: build existingEdgeKeys from all jump routes (both
  endpoints in the save's system set), pass all systems except the
  target as attachCandidates, insert closing routes for each attach.
- save.test.ts: jump test now expects 1–4 fresh systems (was pinned
  to exactly 4); A/B snapshot test stays green (both paths share the
  same resolveJumpTask code).
- e2e/helpers.ts: update stale comment ('4 fresh neighbours' →
  '1–4 new systems').
- e2e/smoke.spec.ts: new test verifying 1–4 mints, all undiscovered,
  each routed to the target, and BFS connectivity of the full graph.

e2e/helpers.ts

@@ -49,12 +49,13 @@ export async function resolveAction(page: Page, path: string, data: Record<strin
 }
 
 // Jump to an adjacent system, preferring one that is still undiscovered. Every jump into an
-// undiscovered system generates 4 fresh neighbours (lib/game/world.ts), so fresh territory is
-// always available — picking the FIRST edge instead ping-pongs between exhausted systems, because
-// edges come back in insertion order and the oldest route out of a system is usually the one that
-// led here. Falls back to any non-current adjacent system if none is undiscovered. The jump is
-// queued with a default one-person crew and ticked to completion (resolveAction) before this
-// returns, so the caller is already standing in the target system, not merely en route to it.
+// undiscovered system mints a seeded-random 1–4 new systems (at least one always minted —
+// lib/game/world.ts #51), so fresh territory is always available — picking the FIRST edge
+// instead ping-pongs between exhausted systems, because edges come back in insertion order and
+// the oldest route out of a system is usually the one that led here. Falls back to any
+// non-current adjacent system if none is undiscovered. The jump is queued with a default
+// one-person crew and ticked to completion (resolveAction) before this returns, so the caller
+// is already standing in the target system, not merely en route to it.
 export async function jumpToFreshSystem(page: Page): Promise<WorldState> {
   const world = (await (await page.request.get('/api/world')).json()) as WorldState;
   const currentId = world.systems.find((s) => s.current)!.id;

e2e/smoke.spec.ts

@@ -199,6 +199,46 @@ test('jumping to an adjacent system updates the world state and turn counter', a
   expect(after.systems.find((s) => s.current)?.id).toBe(targetId);
 });
 
+test('#51: jumping into undiscovered territory mints 1–4 new systems, each routed to the target, and the graph stays connected', async ({ page }) => {
+  await drainQueue(page);
+  const before = (await (await page.request.get('/api/world')).json()) as WorldState;
+
+  const after = await jumpToFreshSystem(page);
+  const target = after.systems.find((s) => s.current)!;
+
+  const beforeIds = new Set(before.systems.map((s) => s.id));
+  const fresh = after.systems.filter((s) => !beforeIds.has(s.id));
+  // #51: seeded-random 1–4 new systems (the frontier guarantee ensures at least one)
+  expect(fresh.length).toBeGreaterThanOrEqual(1);
+  expect(fresh.length).toBeLessThanOrEqual(4);
+  // all new systems are undiscovered
+  expect(fresh.every((s) => !s.discovered)).toBe(true);
+  // each new system is directly routed to the jump target
+  for (const n of fresh) {
+    expect(after.edges.some(([a, b]) => (a === target.id && b === n.id) || (a === n.id && b === target.id))).toBe(true);
+  }
+  // the whole graph stays connected: BFS from the target reaches every system
+  const adj = new Map<number, number[]>();
+  for (const [a, b] of after.edges) {
+    if (!adj.has(a)) adj.set(a, []);
+    if (!adj.has(b)) adj.set(b, []);
+    adj.get(a)!.push(b);
+    adj.get(b)!.push(a);
+  }
+  const seen = new Set([target.id]);
+  const queue = [target.id];
+  while (queue.length > 0) {
+    const cur = queue.shift()!;
+    for (const nb of adj.get(cur) ?? []) {
+      if (!seen.has(nb)) {
+        seen.add(nb);
+        queue.push(nb);
+      }
+    }
+  }
+  expect(seen.size).toBe(after.systems.length); // no orphaned systems
+});
+
 test('local system shows the new current system after a jump, without a page reload (#30)', async ({ page }) => {
   await drainQueue(page); // retry-safety: a failed earlier attempt may have left a row queued (an in-transit JUMP would 409 every new queue)
   const before = (await (await page.request.get('/api/world')).json()) as WorldState;