fix: register locking provider with its unique id (#11874)

.changeset/hot-dolls-promise.md

@@ -0,0 +1,5 @@
+---
+"@medusajs/locking": patch
+---
+
+fix: register locking provider with its unique id

packages/modules/locking/src/loaders/providers.ts

@@ -30,7 +30,7 @@ const registrationFn = async (klass, container, { id }) => {
   })
 
   container.register({
-    [LockingProviderRegistrationPrefix + key]: aliasTo(regKey),
+    [LockingProviderRegistrationPrefix + id]: aliasTo(regKey),
   })
 
   container.registerAdd(LockingIdentifiersRegistrationName, asValue(key))