Chore(index): Sync logs management (#11522)

**What**
- Add index engine sync log information
- Ad `setTimeout(0)` to give breath to the event loop and ensuring not blocking the event loop and allow for other tasks queue execution to happen while syncing

here is an example:
**LOG_LEVEL=info**

![Screenshot 2025-02-19 at 10 09 25](https://github.com/user-attachments/assets/fc74dc32-1bc1-4123-9de3-f37817b7e783)

**LOG_LEVEL=debug**

![Screenshot 2025-02-19 at 10 10 35](https://github.com/user-attachments/assets/222a1ce1-9267-4cb0-9518-dc4c7aa2b6f4)

packages/modules/index/integration-tests/__fixtures__/medusa-config.js

@@ -31,6 +31,7 @@ Object.keys(config.modules).forEach((key) => {
 config.modules[Modules.INDEX] = {
   resolve: "@medusajs/index",
   dependencies: [
+    ContainerRegistrationKeys.LOGGER,
     Modules.EVENT_BUS,
     Modules.LOCKING,
     ContainerRegistrationKeys.REMOTE_QUERY,