feat: add combined docker+API service widgets for gitea/coolify/immich/n8n/umami/headscale

One new `service` widget type (nested discriminated union on `service`)
rather than six, so a single config entry shows both docker container
health and a service-specific stat (repo count, project list, photo
count, workflow count, active users, users/nodes) - avoiding the
overhead of configuring a docker widget and a separate service widget
per container. All six collectors hit the service's container name +
internal port directly on falcon_network, the same container-to-
container pattern just proven out for Traefik's own API, avoiding
vpn-only/hairpin-NAT entirely.

Also adds the public/private config split that was scoped in the
original project plan but never built: lib/config/public.ts strips
apiToken/apiKey/password fields before the config reaches the browser
via SSR or the WS config topic - required before any widget could
carry a real secret. Verified via a throwaway secret field that it's
absent from both the SSR HTML and the WS config:update frame.

Endpoint shapes verified live against the running gitea/coolify/immich/
n8n/umami/headscale containers before committing (unauthenticated
requests correctly 401/200 on every target route; gitea's
X-Total-Count header confirmed present).

lib/types/service-result.ts

@@ -0,0 +1,13 @@
+import type { DockerContainerResult } from "./widget-result";
+
+export interface ServiceStat {
+  label: string;
+  value: string;
+}
+
+export interface ServiceWidgetResult {
+  docker: DockerContainerResult;
+  stats: ServiceStat[];
+  detail?: string[];
+  statError?: string;
+}

lib/types/widget-result.ts

@@ -1,6 +1,7 @@
 import type { SystemResult } from "./system-result";
 import type { HttpCheckResult } from "./http-result";
 import type { TraefikResult } from "./traefik-result";
+import type { ServiceWidgetResult } from "./service-result";
 
 export interface DockerContainerResult {
   status: "running" | "exited" | "restarting" | "paused" | "dead" | "created" | "unknown";
@@ -20,4 +21,5 @@ export type WidgetResult =
   | { type: "system"; data: SystemResult }
   | { type: "http"; data: HttpCheckResult }
   | { type: "traefik"; data: TraefikResult }
+  | { type: "service"; data: ServiceWidgetResult }
   | { type: "error"; message: string };