feat(bridge): Economics on protocol 14 — pay, balances, adjust (PLAN_REDESIGNS §11.2)

Wulf's Economics as an optional integration (D199), as §11.2.2 designs it:

- hello/status `integrations.economics` adds startingBalance and wipesWithMap,
  read from Economics.json (cached by mtime) because its API has neither.
- `economics.pay`: coins from an event step, kept once paid (D335). One main-
  thread call for the list; each deposit measured as after - before, since
  Deposit answers true while rounding and clamping (`at-limit` otherwise).
  The key and its reply are kept in data/RunicGateway/payments.json for seven
  days, so a retry answers `repeat: true` and pays nobody. The optional
  message ({amount} = what landed) is told now if awake, else on wake.
- `economics.balances` (bounded by PermMaxOps) and staff `economics.adjust`
  (deposit / withdraw / set; a withdrawal above the balance is refused
  `insufficient` with the balance).
- `player.tally` gains `balance`, a value: read at connect (D336) and from
  OnEconomicsBalanceUpdated, offline players included.
- `economics.wiped` from OnEconomicsDataWiped(IPlayer), with `newSave`.

Amounts are boxed as double and only Steam ids are sent, per the spike.
Compiled on both rigs (Oxide 2.0.7826, Carbon 2.0.262), then restored.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01E14m6SuuY6i1vASFeGDBeY

README.md

@@ -101,6 +101,10 @@ Clans on the website come from Rust's **own** clan system, not from the uMod `Cl
 is optional. The two share no data: a server running the plugin has two unrelated clan systems, and
 only the game's own clans become Teams on the site.
 
+Wulf's `Economics` is optional too, and not in `overlay.toml`. Where it is loaded the site can pay
+coins from an event, show balances and a richest column, and let staff adjust a balance; where it is
+not, each of those says "Economics is not installed on this server".
+
 ## Diagnosing it
 
 ```