Получение UnsatisfiedDependencyException: при использовании JSF @Push-аннотации с работой Spring framework

Попытка перейти с Primefaces PUSH на JSF Push (Websocket), При попытке использовать JSF Push в проекте Java JSF Push работает нормально, как и ожидалось.

Но при попытке в приложении Spring я получаю следующее исключение

org.springframework.beans.factory.UnsatisfiedDependencyException: Error creating bean with name 'pushBean': Unsatisfied dependency expressed through field 'clock'; nested exception is org.springframework.beans.factory.NoSuchBeanDefinitionException: No qualifying bean of type 'javax.faces.push.PushContext' available: expected at least 1 bean which qualifies as autowire candidate. Dependency annotations: {@javax.inject.Inject(), @javax.faces.push.Push(channel=clock)}

Структура проекта выглядит так.

Структура проекта

Ниже мои конфигурации xml

applicationContext.xml

    <?xml version = "1.0" encoding = "UTF-8"?>
<beans xmlns = "http://www.springframework.org/schema/beans"
    xmlns:xsi = "http://www.w3.org/2001/XMLSchema-instance" xmlns:p = "http://www.springframework.org/schema/p"
    xmlns:context = "http://www.springframework.org/schema/context"
    xsi:schemaLocation = "http://www.springframework.org/schema/beans http://www.springframework.org/schema/beans/spring-beans-3.0.xsd
    http://www.springframework.org/schema/context
    http://www.springframework.org/schema/context/spring-context-3.1.xsd">

    <context:component-scan base-package = "com.javatpoint" />

</beans>

beans.xml

<?xml version = "1.0" encoding = "UTF-8"?>
<beans xmlns = "http://java.sun.com/xml/ns/javaee" xmlns:xsi = "https://www.w3.org/2001/XMLSchema-instance"
    xsi:schemaLocation = "http://java.sun.com/xml/ns/javaee http://java.sun.com/xml/ns/javaee/beans_1_0.xsd">
</beans>

лица-config.xml

<?xml version = "1.0" encoding = "UTF-8"?>
<faces-config xmlns = "http://xmlns.jcp.org/xml/ns/javaee"
    xmlns:xsi = "http://www.w3.org/2001/XMLSchema-instance"
    xsi:schemaLocation = "http://xmlns.jcp.org/xml/ns/javaee http://xmlns.jcp.org/xml/ns/javaee/web-facesconfig_2_2.xsd"
    version = "2.2">
    <application>
        <el-resolver>org.springframework.web.jsf.el.SpringBeanFacesELResolver</el-resolver>
    </application>
</faces-config>

веб.xml

<?xml version = "1.0" encoding = "UTF-8"?>
<web-app xmlns:xsi = "http://www.w3.org/2001/XMLSchema-instance"
    xmlns = "http://java.sun.com/xml/ns/javaee"
    xsi:schemaLocation = "http://java.sun.com/xml/ns/javaee http://java.sun.com/xml/ns/javaee/web-app_3_0.xsd"
    id = "WebApp_ID" version = "3.0">

    <context-param>
        <param-name>javax.faces.ENABLE_WEBSOCKET_ENDPOINT</param-name>
        <param-value>true</param-value>
    </context-param>
    <context-param>
        <param-name>javax.faces.ENABLE_CDI_RESOLVER_CHAIN</param-name>
        <param-value>true</param-value>
    </context-param>
    <context-param>
      <param-name>contextConfigLocation</param-name>
      <param-value>/WEB-INF/applicationContext.xml</param-value>
    </context-param> 

    <listener>
        <listener-class>
            org.springframework.web.context.ContextLoaderListener
        </listener-class>
      </listener>
      <listener>
        <listener-class>
            org.springframework.web.context.request.RequestContextListener
        </listener-class>
      </listener> 

    <servlet>
        <servlet-name>Faces Servlet</servlet-name>
        <servlet-class>javax.faces.webapp.FacesServlet</servlet-class>
        <load-on-startup>1</load-on-startup>
    </servlet>
    <servlet-mapping>
        <servlet-name>Faces Servlet</servlet-name>
        <url-pattern>/faces/*</url-pattern>
    </servlet-mapping>
</web-app>

PushBean.класс

@Component
public class PushBean implements Serializable
{
    @Inject
    @Push(channel = "clock")
    private PushContext clock;

    public void clockAction()
    {
        Calendar now = Calendar.getInstance();
        String time = now.get(Calendar.HOUR_OF_DAY) + ":" + now.get(Calendar.MINUTE) + ":" + now.get(Calendar.SECOND);
        clock.send(time);
    }
}

Пожалуйста, предложите, не пропускаю ли я какие-либо конфигурации, чтобы решить эту проблему и заставить работать JSF Push?