fix(cliproxy): use /v1/models for remote proxy health check

CLIProxyAPI doesn't expose a /health endpoint, causing 404 errors
when testing remote proxy connections. Changed to use /v1/models
which is always available and returns 200 when operational.

Fixes #142

src/cliproxy/remote-proxy-client.ts

@@ -139,6 +139,9 @@ function createHttpsAgent(allowSelfSigned: boolean): https.Agent | undefined {
 /**
  * Check health of remote CLIProxyAPI instance
  *
+ * Uses /v1/models endpoint for health check since CLIProxyAPI doesn't expose /health.
+ * This endpoint is always available and returns 200 when the server is operational.
+ *
  * @param config Remote proxy client configuration
  * @returns RemoteProxyStatus with reachability and latency
  */
@@ -157,8 +160,8 @@ export async function checkRemoteProxy(
     };
   }
 
-  // Use smart URL building - omit port if it's the default for the protocol
-  const url = buildProxyUrl(host, port, protocol, '/health');
+  // Use /v1/models as health check - CLIProxyAPI doesn't have /health endpoint
+  const url = buildProxyUrl(host, port, protocol, '/v1/models');
   const startTime = Date.now();
 
   try {

tests/unit/cliproxy/remote-proxy-client.test.ts

@@ -105,14 +105,15 @@ describe('remote-proxy-client', () => {
   });
 
   describe('health check URL construction', () => {
-    it('should construct correct health check URL pattern', () => {
+    // CLIProxyAPI uses /v1/models for health checks (no /health endpoint)
+    it('should construct correct health check URL pattern using /v1/models', () => {
       const config: RemoteProxyClientConfig = {
         host: '192.168.1.100',
         port: 8317,
         protocol: 'http',
       };
-      const expectedUrl = `${config.protocol}://${config.host}:${config.port}/health`;
-      expect(expectedUrl).toBe('http://192.168.1.100:8317/health');
+      const expectedUrl = `${config.protocol}://${config.host}:${config.port}/v1/models`;
+      expect(expectedUrl).toBe('http://192.168.1.100:8317/v1/models');
     });
 
     it('should construct HTTPS URL when protocol is https', () => {
@@ -121,8 +122,8 @@ describe('remote-proxy-client', () => {
         port: 443,
         protocol: 'https',
       };
-      const expectedUrl = `${config.protocol}://${config.host}:${config.port}/health`;
-      expect(expectedUrl).toBe('https://secure.example.com:443/health');
+      const expectedUrl = `${config.protocol}://${config.host}:${config.port}/v1/models`;
+      expect(expectedUrl).toBe('https://secure.example.com:443/v1/models');
     });
   });
 });