how do I make such a button active when the focus is on the ul element?

[ICPO]

        {
            name: 'CustomParagraph',
            icon: 'paragraph',
            component: 'select',
            tooltip: 'Test',
            list: {
                p: 'Paragraph',

                // + custom logic in exec for this
                note: 'div.note', // note - class
                warning: 'div.warning' // warning - class
            ..
            },
           exec: function (editor, _, {control}) {
           ...
           }
           }

And how to choose an active one in component: 'select' ?