feat(auth): throttle login, register, password reset and Subsonic auth failures (M462 #4976)

Every password-shaped check was mounted bare, so guessing was limited only
by bcrypt cost. A shared in-memory AttemptLimiter now sits in front of them:

- login: 10 failures per account and 50 per address per 15 min, checked
  before the user lookup and bcrypt; 429 with Retry-After. A success clears
  the account's count but not the address's.
- unknown usernames run a dummy bcrypt compare, so timing no longer says
  which accounts exist.
- register: 10 per address per hour; forgot-password: 5 per address and 3
  per email per hour (applied whether or not the email matches); reset: 20
  failed tokens per address per 15 min.
- Subsonic /rest: same limits as login, counting only wrong credentials,
  since clients authenticate on every request.

Web login, register, reset and forgot-password screens say how long to
wait; web and Android carry copy for the rate_limited code.

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

internal/api/api.go

@@ -7,6 +7,7 @@ package api
 import (
 	"log/slog"
 	"math/rand"
+	"time"
 
 	"github.com/go-chi/chi/v5"
 	"github.com/jackc/pgx/v5/pgxpool"
@@ -58,6 +59,11 @@ func Mount(r chi.Router, pool *pgxpool.Pool, logger *slog.Logger, events *playev
 		reacqSettings:       reacqSettings,
 		fingerprintSettings: fpSettings,
 		librarySize:         recommendation.NewLibrarySize(nil),
+		loginGuard:          auth.NewLoginGuard(),
+		registerLimit:       auth.NewAttemptLimiter(registerPerAddressMax, time.Hour),
+		forgotAddressLimit:  auth.NewAttemptLimiter(forgotPerAddressMax, time.Hour),
+		forgotEmailLimit:    auth.NewAttemptLimiter(forgotPerEmailMax, time.Hour),
+		resetLimit:          auth.NewAttemptLimiter(resetFailuresPerAddressMax, 15*time.Minute),
 	}
 
 	r.Route("/api", func(api chi.Router) {
@@ -313,6 +319,14 @@ type handlers struct {
 	// instance the scanner and the fingerprint workers read, so a save from the
 	// admin card reaches them without a restart. Nil serves the defaults.
 	fingerprintSettings *library.FingerprintSettingsService
+	// loginGuard throttles failed logins per account and per address, and
+	// the limiters below cap the other unauthenticated auth routes. All are
+	// nil-safe, so tests that build handlers directly run unthrottled.
+	loginGuard         *auth.LoginGuard
+	registerLimit      *auth.AttemptLimiter
+	forgotAddressLimit *auth.AttemptLimiter
+	forgotEmailLimit   *auth.AttemptLimiter
+	resetLimit         *auth.AttemptLimiter
 	// netSettings caches the trusted reverse-proxy depth read by the auth
 	// middleware on every request and edited from the admin network card.
 	netSettings *netsettings.Service