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,

packages/modules/index/integration-tests/__tests__/config-sync.spec.ts

@@ -133,7 +133,7 @@ describe("IndexModuleService syncIndexConfig", function () {
 
   afterEach(afterEach_)
 
-  it.only("should full sync all entities when the config has changed", async () => {
+  it("should full sync all entities when the config has changed", async () => {
     await setTimeout(1000)
 
     const currentMetadata = await indexMetadataService.list()
@@ -191,6 +191,7 @@ describe("IndexModuleService syncIndexConfig", function () {
     ;(index as any).buildSchemaObjectRepresentation_()
 
     let configurationChecker = new Configuration({
+      logger,
       schemaObjectRepresentation: (index as any).schemaObjectRepresentation_,
       indexMetadataService,
       indexSyncService,
@@ -277,6 +278,7 @@ describe("IndexModuleService syncIndexConfig", function () {
     )
 
     configurationChecker = new Configuration({
+      logger,
       schemaObjectRepresentation: (index as any).schemaObjectRepresentation_,
       indexMetadataService,
       indexSyncService,