Polishing contribution

Closes gh-34877

Author: rstoyanchev

framework-docs/modules/ROOT/pages/web/webflux/reactive-spring.adoc

@@ -81,7 +81,7 @@ The following table describes server dependencies (also see
 |jetty-server, jetty-servlet
 |===
 
-The code snippets below show using the `HttpHandler` adapters with each server API:
+The code snippets below show using the `HttpHandler` adapters with each server API.
 
 *Reactor Netty*
 [tabs]
@@ -179,15 +179,15 @@ Java::
 	JettyCoreHttpHandlerAdapter adapter = new JettyCoreHttpHandlerAdapter(handler);
 
 	Server server = new Server();
+	server.setHandler(adapter);
+
 	ServerConnector connector = new ServerConnector(server);
 	connector.setHost(host);
 	connector.setPort(port);
 	server.addConnector(connector);
 
-	server.setHandler(adapter);
 	server.start();
 ----
-NOTE: As of Spring Framework 6.2, `JettyHttpHandlerAdapter` has been deprecated in favor of `JettyCoreHttpHandlerAdapter` which provides better integration with Jetty 12.
 
 Kotlin::
 +
@@ -197,22 +197,24 @@ Kotlin::
 	val adapter = JettyCoreHttpHandlerAdapter(handler)
 
 	val server = Server()
+	server.setHandler(adapter)
+
 	val connector = ServerConnector(server)
 	connector.host = host
 	connector.port = port
 	server.addConnector(connector)
 
-	server.setHandler(adapter)
 	server.start()
 ----
 ======
 
-*Servlet Container*
+TIP: In Spring Framework 6.2, `JettyHttpHandlerAdapter` was deprecated in favor of
+`JettyCoreHttpHandlerAdapter`, which integrates directly with Jetty 12 APIs
+without a Servlet layer.
 
-To deploy as a WAR to any Servlet container, you can extend and include
-{spring-framework-api}/web/server/adapter/AbstractReactiveWebInitializer.html[`AbstractReactiveWebInitializer`]
-in the WAR. That class wraps an `HttpHandler` with `ServletHttpHandlerAdapter` and registers
-that as a `Servlet`.
+To deploy as a WAR to a Servlet container instead, use
+{spring-framework-api}/web/server/adapter/AbstractReactiveWebInitializer.html[`AbstractReactiveWebInitializer`],
+to adapt `HttpHandler` to a `Servlet` via `ServletHttpHandlerAdapter`.