Run this test case in qmlscene-qt6 and them resize the window so that the text wraps:

import QtQuick
import QtQuick.Controls as QQC2
import org.kde.kirigami 2.20 as Kirigami

Item {
    width: 300
    height: 200

    Kirigami.InlineMessage {
        anchors {
            left: parent.left
            right: parent.right
            top: parent.top
        }
        text: "This is some text and oh my god it's soooooo long"
        visible: true
        showCloseButton: true
        actions: [
            QQC2.Action {
                icon.name: "edit-bomb"
                text: "I am here, click me"
                onTriggered: {
                    console.warn("Hello World")
                }
            }
        ]
    }
}