fix: resolve CI type errors for server-utils PR

- Define ServerProviderStatus/ServerProviderStatusState locally in
  Services/ProviderHealth instead of importing non-existent names from
  contracts
- Fix Context.Service usage in ProviderHealth service definition
- Add missing unref property to ChildProcessHandle mock in test
- Add terminalThreads.ts from shared terminal utilities and register
  its subpath export in @t3tools/shared

Author: aaditagrawal

apps/server/src/provider/Layers/ProviderHealth.test.ts

@@ -29,6 +29,7 @@ function mockHandle(result: { stdout: string; stderr: string; code: number }) {
     all: Stream.empty,
     getInputFd: () => Sink.drain,
     getOutputFd: () => Stream.empty,
+    unref: Effect.succeed({ [Symbol()]: true }) as any,
   });
 }
 

apps/server/src/provider/Layers/ProviderHealth.ts

@@ -9,11 +9,9 @@
  * @module ProviderHealthLive
  */
 import * as OS from "node:os";
-import type {
-  ServerProviderAuthStatus,
-  ServerProviderStatus,
-  ServerProviderStatusState,
-} from "@t3tools/contracts";
+import type { ServerProviderAuthStatus } from "@t3tools/contracts";
+
+import type { ServerProviderStatus, ServerProviderStatusState } from "../Services/ProviderHealth";
 import { Array, Effect, Fiber, FileSystem, Layer, Option, Path, Result, Stream } from "effect";
 import { ChildProcess, ChildProcessSpawner } from "effect/unstable/process";
 

apps/server/src/provider/Services/ProviderHealth.ts

@@ -6,10 +6,27 @@
  *
  * @module ProviderHealth
  */
-import type { ServerProviderStatus } from "@t3tools/contracts";
-import { ServiceMap } from "effect";
+import type { ServerProviderAuthStatus } from "@t3tools/contracts";
+import { Context } from "effect";
 import type { Effect } from "effect";
 
+/**
+ * Lightweight status snapshot returned by startup health probes.
+ *
+ * Intentionally decoupled from the full `ServerProvider` contract which
+ * carries model lists, slash-commands, etc.
+ */
+export type ServerProviderStatusState = "ready" | "warning" | "error";
+
+export interface ServerProviderStatus {
+  readonly provider: string;
+  readonly status: ServerProviderStatusState;
+  readonly available: boolean;
+  readonly authStatus: ServerProviderAuthStatus;
+  readonly checkedAt: string;
+  readonly message?: string;
+}
+
 export interface ProviderHealthShape {
   /**
    * Read the latest provider health statuses.

packages/shared/package.json

@@ -56,6 +56,10 @@
       "types": "./src/searchRanking.ts",
       "import": "./src/searchRanking.ts"
     },
+    "./terminalThreads": {
+      "types": "./src/terminalThreads.ts",
+      "import": "./src/terminalThreads.ts"
+    },
     "./qrCode": {
       "types": "./src/qrCode.ts",
       "import": "./src/qrCode.ts"