test: strengthen Cypress e2e tests with real API assertions

- Remove blanket uncaught:exception suppressor (API-only tests)
- Trim smoke test to single infra-verification assertion
- Rewrite health test with strict status/field assertions, no failOnStatusCode
- Add session CRUD tests (create, get, list, delete, 404 cases, cleanup)
- Use Cypress.env('API_URL') instead of baseUrl to avoid blocking smoke tests
- Remove unused main and type fields from package.json

cypress/e2e/api/health.cy.js

@@ -1,30 +1,21 @@
 /// <reference types="cypress" />
 
-describe('Session Manager API', () => {
-    describe('Health Check', () => {
-        it('should respond to the health endpoint', () => {
-            cy.request({
-                method: 'GET',
-                url: '/api/health',
-                failOnStatusCode: false,
-            }).then((response) => {
-                // The endpoint should exist and return a response
-                expect(response.status).to.be.oneOf([200, 503]);
-                expect(response.body).to.be.an('object');
-            });
-        });
-    });
+const api = () => Cypress.env('API_URL');
 
-    describe('Sessions API', () => {
-        it('should list sessions', () => {
-            cy.request({
-                method: 'GET',
-                url: '/api/sessions',
-                failOnStatusCode: false,
-            }).then((response) => {
-                expect(response.status).to.eq(200);
-                expect(response.body).to.be.an('object');
-            });
+describe('Health API', () => {
+    it('GET /api/health returns status and required fields', () => {
+        cy.request(`${api()}/api/health`).then((response) => {
+            expect(response.status).to.eq(200);
+            expect(response.body).to.have.property('status');
+            expect(response.body.status).to.be.oneOf([
+                'healthy',
+                'degraded',
+                'unhealthy',
+            ]);
+            expect(response.body).to.have.property('docker');
+            expect(response.body).to.have.property('active_sessions');
+            expect(response.body).to.have.property('timestamp');
+            expect(response.body).to.have.property('resource_limits');
         });
     });
 });