feat: rate-limit /auth/login, /register, /me/password (0.35.0)

A hand-rolled token-bucket limiter (5 req/sec, 10-request burst by
default; AUTH_RATE_PER_SEC/AUTH_RATE_BURST env knobs) gates the three
auth-mutation endpoints. One bucket per AppState so tests stay
isolated. Tower-governor wasn't wired in because the reverse proxy
doesn't yet forward client IPs — a global bucket gives equivalent
brute-force protection until that lands.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

backend/tests/api_auth.rs

@@ -567,6 +567,81 @@ async fn user_a_cannot_delete_user_b_token(pool: PgPool) {
     assert_eq!(resp.status(), StatusCode::NO_CONTENT);
 }
 
+/// Brute-force / spray protection: at default production limits, a
+/// tight loop of /auth/login attempts should burst through the bucket
+/// and then 429 every subsequent request until the bucket refills.
+#[sqlx::test(migrations = "./migrations")]
+async fn login_rate_limited_under_burst_pressure(pool: PgPool) {
+    let h = common::harness_with_auth_rate_limit(pool, 1, 3);
+
+    // Register a victim so the wrong-password branch is real work.
+    let _ = h
+        .app
+        .clone()
+        .oneshot(common::post_json("/api/v1/auth/register", creds("victim")))
+        .await
+        .unwrap();
+
+    // Register consumed one token from the burst-3 bucket. Fire 30
+    // wrong-password logins back-to-back; with per_sec=1 the refill
+    // is too slow to keep up and at least one must come back 429.
+    let mut saw_429 = false;
+    for _ in 0..30 {
+        let resp = h
+            .app
+            .clone()
+            .oneshot(common::post_json(
+                "/api/v1/auth/login",
+                json!({ "username": "victim", "password": "wrong" }),
+            ))
+            .await
+            .unwrap();
+        if resp.status() == StatusCode::TOO_MANY_REQUESTS {
+            // RFC 6585 §4: 429 SHOULD include a Retry-After header. The
+            // value is in seconds; with per_sec=1 the bucket needs ~1s
+            // to refill, so the header should be 1 or 2.
+            let retry_after = resp
+                .headers()
+                .get(axum::http::header::RETRY_AFTER)
+                .and_then(|v| v.to_str().ok())
+                .and_then(|s| s.parse::<u32>().ok())
+                .expect("Retry-After header present and numeric");
+            assert!(
+                retry_after >= 1,
+                "Retry-After must be at least 1s, got {retry_after}"
+            );
+            let body = common::body_json(resp).await;
+            assert_eq!(body["error"]["code"], "too_many_requests");
+            saw_429 = true;
+            break;
+        }
+    }
+    assert!(
+        saw_429,
+        "expected at least one 429 within 30 rapid login attempts"
+    );
+}
+
+/// Default (test-harness) limits are disabled, so existing tests that
+/// fire multiple auth requests don't start failing.
+#[sqlx::test(migrations = "./migrations")]
+async fn default_test_harness_does_not_rate_limit(pool: PgPool) {
+    let h = common::harness(pool);
+    for i in 0..50 {
+        let resp = h
+            .app
+            .clone()
+            .oneshot(common::post_json(
+                "/api/v1/auth/login",
+                json!({ "username": format!("nobody-{i}"), "password": "x" }),
+            ))
+            .await
+            .unwrap();
+        // None of these should be 429 — only 401.
+        assert_eq!(resp.status(), StatusCode::UNAUTHORIZED, "iter {i}");
+    }
+}
+
 #[sqlx::test(migrations = "./migrations")]
 async fn delete_unknown_token_is_404(pool: PgPool) {
     let h = common::harness(pool);