Custom app: how to refresh a settings page?

I'm working on a custom app that can create child devices. I'm adding the option to remove a child device, and trying to implement it similar to how RM lets you remove an action: there's a dropdown that you can choose, and then it instantly removes the child.

Here's my example code in a dynamicPage section:

// List out the existing children
getChildDevices().each {
            paragraph "${it.displayName.toString()}"
        }
        
        // Build a list of the children for use by the dropdown
        def existingChildOptions = []
		getChildDevices().each {
			existingChildOptions << [(it.deviceNetworkId.toString()): it.displayName]
		}

        // If they've chosen a dropdown value, delete the child
        if (settings.childToDeleteId) {
            log.debug "Removing Child: ${settings.childToDeleteId}"
            deleteChildDevice(settings.childToDeleteId)
            app.removeSetting("childToDeleteId")
        }
        
        input(name:	"childToDeleteId",	type: "enum", title: "Remove a child", multiple: false, required: false, submitOnChange: true, options: (existingChildOptions))

First it lists out the children, then it has an enum input to select one. Right now it is deleting the child device. But I still see it in the list of paragraphs at the top until I refresh the browser.

Is there a command to cause a re-render of this page? Something like app.refresh() or something?

As part of your delete method, have you tried calling getChildDevices() again?
Wouldn’t that refresh your list?