feat(server): 新增统一 logger 入口与 /health liveness 端点

- src/server/logger.ts 包一层 console.*，给后续 pino/otel 迁移留单点
- interceptors.ts 的 logError 改走 logger.error，业务侧禁止直接 console.*
- /health 返回 'ok'，纯 liveness（不查 DB），DB 挂时探活仍绿

src/routeTree.gen.ts

@@ -9,10 +9,16 @@
 // Additionally, you should also exclude this file from your linter and/or formatter to prevent it from being checked or modified.
 
 import { Route as rootRouteImport } from './routes/__root'
+import { Route as HealthRouteImport } from './routes/health'
 import { Route as IndexRouteImport } from './routes/index'
 import { Route as ApiSplatRouteImport } from './routes/api/$'
 import { Route as ApiRpcSplatRouteImport } from './routes/api/rpc.$'
 
+const HealthRoute = HealthRouteImport.update({
+  id: '/health',
+  path: '/health',
+  getParentRoute: () => rootRouteImport,
+} as any)
 const IndexRoute = IndexRouteImport.update({
   id: '/',
   path: '/',
@@ -31,36 +37,47 @@ const ApiRpcSplatRoute = ApiRpcSplatRouteImport.update({
 
 export interface FileRoutesByFullPath {
   '/': typeof IndexRoute
+  '/health': typeof HealthRoute
   '/api/$': typeof ApiSplatRoute
   '/api/rpc/$': typeof ApiRpcSplatRoute
 }
 export interface FileRoutesByTo {
   '/': typeof IndexRoute
+  '/health': typeof HealthRoute
   '/api/$': typeof ApiSplatRoute
   '/api/rpc/$': typeof ApiRpcSplatRoute
 }
 export interface FileRoutesById {
   __root__: typeof rootRouteImport
   '/': typeof IndexRoute
+  '/health': typeof HealthRoute
   '/api/$': typeof ApiSplatRoute
   '/api/rpc/$': typeof ApiRpcSplatRoute
 }
 export interface FileRouteTypes {
   fileRoutesByFullPath: FileRoutesByFullPath
-  fullPaths: '/' | '/api/$' | '/api/rpc/$'
+  fullPaths: '/' | '/health' | '/api/$' | '/api/rpc/$'
   fileRoutesByTo: FileRoutesByTo
-  to: '/' | '/api/$' | '/api/rpc/$'
-  id: '__root__' | '/' | '/api/$' | '/api/rpc/$'
+  to: '/' | '/health' | '/api/$' | '/api/rpc/$'
+  id: '__root__' | '/' | '/health' | '/api/$' | '/api/rpc/$'
   fileRoutesById: FileRoutesById
 }
 export interface RootRouteChildren {
   IndexRoute: typeof IndexRoute
+  HealthRoute: typeof HealthRoute
   ApiSplatRoute: typeof ApiSplatRoute
   ApiRpcSplatRoute: typeof ApiRpcSplatRoute
 }
 
 declare module '@tanstack/react-router' {
   interface FileRoutesByPath {
+    '/health': {
+      id: '/health'
+      path: '/health'
+      fullPath: '/health'
+      preLoaderRoute: typeof HealthRouteImport
+      parentRoute: typeof rootRouteImport
+    }
     '/': {
       id: '/'
       path: '/'
@@ -87,6 +104,7 @@ declare module '@tanstack/react-router' {
 
 const rootRouteChildren: RootRouteChildren = {
   IndexRoute: IndexRoute,
+  HealthRoute: HealthRoute,
   ApiSplatRoute: ApiSplatRoute,
   ApiRpcSplatRoute: ApiRpcSplatRoute,
 }