style: auto-fix lint and format

Server-side Redis cache reduced to 1s dedup window. TanStack Query
(staleTime 10s, gcTime 48h, refetchInterval 10s) now controls freshness.
SSR hydration from persister provides instant page loads with old data,
background refetches hit Beszel directly every 10s.

Fixes issue where widgets showed stale/errored data indefinitely due to
long Redis cache durations preventing refetches.

packages/request-handler/src/beszel.ts

@@ -75,7 +75,7 @@ export const beszelSystemsRequestHandler = createCachedIntegrationRequestHandler
     });
     return enriched;
   },
-  cacheDuration: dayjs.duration(5, "seconds"),
+  cacheDuration: dayjs.duration(1, "second"),
   fallbackToStaleOnError: true,
   retry: { attempts: 2, delayMs: 500 },
   queryKey: "beszelSystems",
@@ -104,19 +104,19 @@ export const beszelAlertsRequestHandler = createCachedIntegrationRequestHandler<
     });
     return { alerts, history };
   },
-  cacheDuration: dayjs.duration(15, "seconds"),
+  cacheDuration: dayjs.duration(1, "second"),
   fallbackToStaleOnError: true,
   retry: { attempts: 2, delayMs: 500 },
   queryKey: "beszelAlerts",
 });
 
-const timePeriodConfig: Record<string, { type: string; perPage: number; cacheSeconds: number }> = {
-  "1m": { type: "1m", perPage: 60, cacheSeconds: 5 },
-  "1h": { type: "1m", perPage: 60, cacheSeconds: 60 },
-  "12h": { type: "10m", perPage: 72, cacheSeconds: 300 },
-  "24h": { type: "20m", perPage: 72, cacheSeconds: 600 },
-  "1w": { type: "480m", perPage: 21, cacheSeconds: 1800 },
-  "30d": { type: "480m", perPage: 90, cacheSeconds: 3600 },
+const timePeriodConfig: Record<string, { type: string; perPage: number }> = {
+  "1m": { type: "1m", perPage: 60 },
+  "1h": { type: "1m", perPage: 60 },
+  "12h": { type: "10m", perPage: 72 },
+  "24h": { type: "20m", perPage: 72 },
+  "1w": { type: "480m", perPage: 21 },
+  "30d": { type: "480m", perPage: 90 },
 };
 
 export interface BeszelStatsData {
@@ -131,7 +131,7 @@ export const beszelStatsRequestHandler = createCachedIntegrationRequestHandler<
 >({
   async requestAsync(integration, input) {
     const start = performance.now();
-    const config = timePeriodConfig[input.timePeriod] ?? { type: "1m", perPage: 60, cacheSeconds: 60 };
+    const config = timePeriodConfig[input.timePeriod] ?? { type: "1m", perPage: 60 };
     const instance = await createIntegrationAsync(integration);
     const systemStats = await instance.getSystemStatsAsync(input.systemId, config.type, config.perPage);
     const containerStats = input.includeDocker
@@ -147,13 +147,8 @@ export const beszelStatsRequestHandler = createCachedIntegrationRequestHandler<
     });
     return { systemStats, containerStats };
   },
-  cacheDuration: dayjs.duration(60, "seconds"),
+  cacheDuration: dayjs.duration(1, "second"),
   fallbackToStaleOnError: true,
   retry: { attempts: 2, delayMs: 500 },
   queryKey: "beszelStats",
-  cacheDurationForInput(input) {
-    const config = timePeriodConfig[input.timePeriod];
-    if (!config) return undefined;
-    return dayjs.duration(config.cacheSeconds, "seconds");
-  },
 });

packages/widgets/src/beszel-alerts/component.tsx

@@ -46,8 +46,9 @@ export default function BeszelAlertsWidget({
     error: alertsError,
     isPending,
   } = clientApi.widget.beszel.getAlerts.useQuery(alertsInput, {
-    staleTime: 15_000,
-    refetchInterval: 15_000,
+    staleTime: 10_000,
+    gcTime: 48 * 60 * 60 * 1000,
+    refetchInterval: 10_000,
     retry: false,
   });
   const utils = clientApi.useUtils();

packages/widgets/src/beszel-system-grid/component.tsx

@@ -371,7 +371,7 @@ export default function BeszelSystemGridWidget({
     isPending,
   } = clientApi.widget.beszel.getSystems.useQuery(
     { integrationIds },
-    { staleTime: 5_000, refetchInterval: 5_000, retry: false },
+    { staleTime: 10_000, gcTime: 48 * 60 * 60 * 1000, refetchInterval: 10_000, retry: false },
   );
 
   useBeszelSystemsSubscription(integrationIds, !isEditMode);

packages/widgets/src/beszel-system-stats/component.tsx

@@ -67,7 +67,10 @@ export default function BeszelSystemStatsWidget({
     data: systemsResult = [],
     isPending: systemsPending,
     error: systemsError,
-  } = clientApi.widget.beszel.getSystems.useQuery({ integrationIds }, { staleTime: 30 * 1000, retry: false });
+  } = clientApi.widget.beszel.getSystems.useQuery(
+    { integrationIds },
+    { staleTime: 10_000, gcTime: 48 * 60 * 60 * 1000, retry: false },
+  );
 
   const systems = useMemo(
     () => systemsResult.flatMap((r) => r.systems.map((s) => ({ value: s.id, label: s.name }))),
@@ -100,8 +103,9 @@ export default function BeszelSystemStatsWidget({
       includeDocker: showDocker,
     },
     {
-      staleTime: 30 * 1000,
-      refetchInterval: isLive ? false : 5_000,
+      staleTime: 10_000,
+      gcTime: 48 * 60 * 60 * 1000,
+      refetchInterval: isLive ? false : 10_000,
       enabled: !isLive && systemReady && selectedSystem !== "",
       retry: false,
     },

packages/widgets/src/beszel-system-table/component.tsx

@@ -76,7 +76,7 @@ export default function BeszelSystemTableWidget({
     isPending,
   } = clientApi.widget.beszel.getSystems.useQuery(
     { integrationIds },
-    { staleTime: 5_000, refetchInterval: 5_000, retry: false },
+    { staleTime: 10_000, gcTime: 48 * 60 * 60 * 1000, refetchInterval: 10_000, retry: false },
   );
   const size = getSizeConfig(width);
 

packages/widgets/src/beszel/_shared/system-stats-modal.tsx

@@ -43,7 +43,7 @@ export const BeszelSystemStatsModal = createModal<BeszelSystemStatsModalProps>((
       timePeriod,
       includeDocker: false,
     },
-    { staleTime: 30_000 },
+    { staleTime: 10_000, gcTime: 48 * 60 * 60 * 1000, refetchInterval: 10_000 },
   );
 
   const mappers = useMemo(