Preserve order of securitySchemes (#14536)

* Remove alphabetical sort

* Update integration testing expectations

* Regenerate files

samples/client/petstore/java/resttemplate-jakarta/README.md

@@ -152,13 +152,6 @@ Class | Method | HTTP request | Description
 ## Documentation for Authorization
 
 Authentication schemes defined for the API:
-### api_key
-
-
-- **Type**: API key
-- **API key parameter name**: api_key
-- **Location**: HTTP header
-
 ### petstore_auth
 
 
@@ -169,6 +162,13 @@ Authentication schemes defined for the API:
   - write:pets: modify pets in your account
   - read:pets: read your pets
 
+### api_key
+
+
+- **Type**: API key
+- **API key parameter name**: api_key
+- **Location**: HTTP header
+
 
 ## Recommendation
 

samples/client/petstore/java/resttemplate-jakarta/src/main/java/org/openapitools/client/ApiClient.java

@@ -111,8 +111,8 @@ public class ApiClient extends JavaTimeFormatter {
 
         // Setup authentications (key: authentication name, value: authentication).
         authentications = new HashMap<String, Authentication>();
-        authentications.put("api_key", new ApiKeyAuth("header", "api_key"));
         authentications.put("petstore_auth", new OAuth());
+        authentications.put("api_key", new ApiKeyAuth("header", "api_key"));
         // Prevent the authentications from being modified.
         authentications = Collections.unmodifiableMap(authentications);
     }