Reporter: catch up completed cycles on reset, report each firm's account list

When a fund transaction starts a new cycle (the days revert to 0), the
cycle it ended is checked against the completion rule for a week after and
named if it stood complete — its final day may never have been reported.
Only for a cycle this instance saw begin: the clients now note where the
ended cycle started as they move last_fund_date forward. Completions carry
the cycle they belong to, and each firm reports its whole account list so
the master can tell erased accounts and spot new funded ones.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

lib/master-protocol.ts

@@ -33,9 +33,14 @@ export interface AccountTypeStats {
      *  after a firm erases a passed account. date = the trade date it
      *  completed on; stage = 1 + withdrawals taken (its meaning depends on the
      *  account type); kind: 'pass' = an eval passing, 'payout' = a funded
-     *  cycle ready to withdraw, 'drain' = a drain stage's days booked.
-     *  Optional: older instances omit it. */
-    completedAccounts?: { name: string; date: string; stage: number; kind: 'pass' | 'payout' | 'drain' }[];
+     *  cycle ready to withdraw, 'drain' = a drain stage's days booked;
+     *  cycle = the date of the fund transaction that started the cycle ('' for
+     *  the account's first cycle) — firm + name + cycle identify one
+     *  completed cycle. The list also carries caught-up entries: for up to 7
+     *  days after a fund transaction starts a new cycle, it includes the cycle
+     *  that just ended if that cycle had met the rule. Caught-up entries are
+     *  not counted in `completed`. Optional: older instances omit it. */
+    completedAccounts?: { name: string; date: string; stage: number; kind: 'pass' | 'payout' | 'drain'; cycle: string }[];
     /** Live accounts by trading days completed toward the current target:
      *  {daysTraded: accountCount}. Feeds the master's payout calendar, so
      *  accounts that are dead, DLL-locked, or in the red are left out — the
@@ -89,6 +94,15 @@ export interface FirmStats {
     personalDll?: number;
     /** Of targetHit: accounts that finished their cycle today. Optional. */
     completed?: number;
+    /** Every account in the firm's broker list right now, dead ones included,
+     *  so the master can tell a saved account the firm erased from one still
+     *  listed, and spot a newly arrived funded account. size = the account
+     *  type's size (0 without one); payoutable = the type pays out — its
+     *  payoutable flag or withdrawal stages, the test that reports its
+     *  completions as 'payout' — null while the account has no type. Absent
+     *  when the firm isn't synced (unknown, not empty). Optional: older
+     *  instances omit it. */
+    accounts?: { name: string; size: number; payoutable: boolean | null }[];
     /** Per account type, summing to the firm's own totals. Optional so a master
      *  on an older build simply ignores it. */
     accountTypes?: AccountTypeStats[];