The order of Action and Listener in JSF

MrBean.java

package my.beanBag;

@ManagedBean(name = "mrBean")
@RequestScoped
public class MrBean implements ActionListener {
    private String type;
    
    public void triggerActionListener() {
        System.out.println("MrBean is called by buttons' actionListener.");
    }
    
    public void triggerAction() {
        System.out.println("MrBean is called by button's action.");
    }
    
    public void setType(String type) {
        System.out.println("MrBean is called by <f:setPropertyActionListener>.");
    }
    
    @Override
    public void processAction(ActionEvent event) throws AbortProcessingException {
        System.out.println("MrBean is called by <f:actionListener>.");
    }
    
}

Test button.xhtml

<h:commandButton value="Test" actionListener="#{mrBean.triggerActionListener}" action="#{mrBean.triggerAction}" >
    <f:setPropertyActionListener target="#{mrBean.type}" value="Green bean" />
    <f:actionListener type="my.beanBag.MrBean" />
</h:commandButton>

Test outcome

<--- Start of Console --->

MrBean is called by buttons' actionListener.
MrBean is called by <f:setPropertyActionListener>.
MrBean is called by <f:actionListener>.
MrBean is called by button's action.

<--- End of Console --->