feat(rust): Economics — pay coins, balances, staff adjust, the richest (PLAN_REDESIGNS §11.2)

The site half of §11.2.2, on protocol 14:

- `rust.coins.pay` ("Pay coins"): irreversible, reversible none (D335). The
  recipient modes of rust.kit.entitle including `linked`, one payment per
  website user (D103's rule), an optional message with {amount}, a new
  `rust.coins` budget. Refused with "Economics is not installed on this
  server" in the dry run too (D199). Core's key goes to the plugin, so a
  retried step answers `repeat` and pays nobody twice.
- `rust_player_wipe_stats.balance`: the tally's balance, written as a value.
  A nameless balance frame (an offline player) moves nobody's last-seen.
  `economics.wiped` clears the wipe's balances, except at a new save.
- The richest: a Coins leaderboard column on one wipe of a server that
  reports Economics, `sort=balance`, and a `richest` title category
  (Magnate); both rank only above the starting balance (D336).
- GET /player/rust/economics (live, falling back to the last known), and
  GET/POST /admin/users/:id/rust/economics for staff — scoped to the user's
  own links, keyed per submission, an activity row with before and after.
- Client: the account page's Coins, the admin user page's Coins panel with
  its form, the leaderboard column, and Economics in the server's mod line
  (saying when its config could not be read).

Server 535/535 (14 new in test/economics.test.js), client 74/74,
routes.manifest regenerated against the pinned core (87 routes), swagger
fragment regenerated.

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

server/router/admin/usersRust.router.js

@@ -128,4 +128,47 @@ usersRustRouter.delete(
   usersRust.removeGrant,
 )
 
+// ── Economics (PLAN_REDESIGNS §11.2.2): a person's coins, and staff's hand ──
+//
+// Beside their links, because "how many coins does this player have" is asked
+// about a person. The write is the only way coins come back after an event
+// paid them (D335): staff withdraw them by hand, and each adjustment is an
+// activity row with the balance before and after.
+
+usersRustRouter.get(
+  '/rust/economics',
+  // #swagger.tags = ['Admin · Users']
+  // #swagger.summary = 'A user’s coin balances (admin only)'
+  // #swagger.description = 'This user’s Economics balance on every server, per linked Steam account — live where the server answers, else the last balance it reported. A server without Economics is listed with the reason. The same shape as GET /player/rust/economics.'
+  // #swagger.security = [{ "cookieAuth": [] }, { "bearerAuth": [] }]
+  // #swagger.parameters['id'] = { in: 'path', required: true, schema: { type: 'integer' }, description: 'User id.' }
+  /* #swagger.responses[200] = { description: 'The balances', content: { "application/json": { schema: { $ref: "#/components/schemas/RustEconomicsBalances" } } } } */
+  param('id').isInt(),
+  validate,
+  usersRust.listEconomics,
+)
+
+usersRustRouter.post(
+  '/rust/economics',
+  // #swagger.tags = ['Admin · Users']
+  // #swagger.summary = 'Deposit, withdraw or set a user’s coins on one server (admin only)'
+  // #swagger.description = 'Through the server’s Economics, for one Steam account this user has linked. A withdrawal above the balance is refused with the balance, because Economics takes all or nothing. `key` makes a resent form harmless: the game answers a key it has seen from the first reply and moves nothing. Recorded in the activity log with the balance before and after.'
+  // #swagger.security = [{ "cookieAuth": [] }, { "bearerAuth": [] }]
+  // #swagger.parameters['id'] = { in: 'path', required: true, schema: { type: 'integer' }, description: 'User id.' }
+  /* #swagger.requestBody = { required: true, content: { "application/json": { schema: { $ref: "#/components/schemas/RustEconomicsAdjust" } } } } */
+  /* #swagger.responses[200] = { description: 'Adjusted', content: { "application/json": { schema: { $ref: "#/components/schemas/RustEconomicsAdjusted" } } } } */
+  /* #swagger.responses[400] = { description: 'A bad op or amount', content: { "application/json": { schema: { $ref: "#/components/schemas/Error" } } } } */
+  /* #swagger.responses[404] = { description: 'No such server, or that Steam account is not linked to this user', content: { "application/json": { schema: { $ref: "#/components/schemas/Error" } } } } */
+  /* #swagger.responses[409] = { description: 'Economics is not installed there, or the balance is too low to withdraw that much', content: { "application/json": { schema: { $ref: "#/components/schemas/Error" } } } } */
+  /* #swagger.responses[503] = { description: 'The server could not be reached', content: { "application/json": { schema: { $ref: "#/components/schemas/Error" } } } } */
+  param('id').isInt(),
+  body('serverId').isString().isLength({ min: 1, max: 64 }),
+  body('steamId').isString().matches(STEAM_ID_RE),
+  body('op').isIn(['deposit', 'withdraw', 'set']),
+  body('amount').isFloat({ min: 0, max: 1000000 }).toFloat(),
+  body('key').optional().isString().matches(/^[A-Za-z0-9-]{8,64}$/),
+  validate,
+  usersRust.adjustEconomics,
+)
+
 module.exports = usersRustRouter