Redesign faucet claim flow: login → loading → eligibility → claim

- Backend: payout is now random between FAUCET_MIN_SATS and FAUCET_MAX_SATS
- Remove weighted buckets; simplify config and .env.example
- Frontend: show loading and eligibility in main body, modal only for confirm/success
- Rename Confirm payout to Claim; add styles for body loading and eligible state

Made-with: Cursor

backend/src/config.ts

@@ -26,6 +26,8 @@ export const config = {
   trustProxy: envBool("TRUST_PROXY", false),
   /** Public path prefix when behind a reverse proxy that strips it (e.g. nginx /api/ -> backend /). */
   publicBasePath: (process.env.PUBLIC_BASE_PATH ?? "").replace(/\/$/, ""),
+  /** Host of the API subdomain (e.g. faucetapi.lnpulse.app). When request Host matches, OpenAPI server URL is /. */
+  apiHost: (process.env.API_HOST ?? "faucetapi.lnpulse.app").split(":")[0],
   allowedOrigins: (process.env.ALLOWED_ORIGINS ?? process.env.FRONTEND_URL ?? "http://localhost:5173,http://localhost:5174").split(",").map((s) => s.trim()),
 
   // Database: omit DATABASE_URL for SQLite; set for Postgres
@@ -44,14 +46,6 @@ export const config = {
   emergencyStop: envBool("EMERGENCY_STOP", false),
   faucetMinSats: envInt("FAUCET_MIN_SATS", 1),
   faucetMaxSats: envInt("FAUCET_MAX_SATS", 5),
-  payoutWeightSmall: envInt("PAYOUT_WEIGHT_SMALL", 50),
-  payoutWeightMedium: envInt("PAYOUT_WEIGHT_MEDIUM", 30),
-  payoutWeightLarge: envInt("PAYOUT_WEIGHT_LARGE", 15),
-  payoutWeightJackpot: envInt("PAYOUT_WEIGHT_JACKPOT", 5),
-  payoutSmallSats: envInt("PAYOUT_SMALL_SATS", 10),
-  payoutMediumSats: envInt("PAYOUT_MEDIUM_SATS", 25),
-  payoutLargeSats: envInt("PAYOUT_LARGE_SATS", 50),
-  payoutJackpotSats: envInt("PAYOUT_JACKPOT_SATS", 100),
   dailyBudgetSats: envInt("DAILY_BUDGET_SATS", 10000),
   maxClaimsPerDay: envInt("MAX_CLAIMS_PER_DAY", 100),
   minWalletBalanceSats: envInt("MIN_WALLET_BALANCE_SATS", 1000),