Combining searches

I have a use case where I'm presenting two checkboxes to a user. These checkboxes will both do different "searches" on the datatable and filter it appropriately. They look for the value of a data attribute on the <tr> element.

Individually they work fine. However I want them to chain together meaning when one is clicked, do that one and when another is clicked apply that one, along with the first one's value.

I can't get them to work together because when I toggle one off, I have to do
$.fn.dataTable.ext.search.pop();
and that removes both filters!

How can I remove the specific filter relating to just that checkbox?

Search application functions

function hidePickedRecords(){
        $.fn.dataTable.ext.search.push(
        function(settings, data, dataIndex) {
            var oTable = new $.fn.dataTable.Api( settings );  // Get API instance for table
            return $(oTable.row(dataIndex).node()).attr('data-picked-row') == 0;
        });
    }

    function hideUnReadyRecords(){
        $.fn.dataTable.ext.search.push(
        function(settings, data, dataIndex) {
            var oTable = new $.fn.dataTable.Api( settings );  // Get API instance for table
            return $(oTable.row(dataIndex).node()).attr('data-fully-ready') == 1;
        });
    }

Event listeners for the checkbox changes:

 // Hide Picked checkbox change
            $("#hide-picked-checkbox").on("change", function(){
                let showPickedRecords = $(this).is(":checked") ? 0 : 1;

                if ( showPickedRecords ) {
                    $.fn.dataTable.ext.search.pop();     // removes filter already in place
                }
                else {
                    hidePickedRecords();
                }
                oTable.draw();

            });

        // Show Un-Ready checkbox change
            $("#show-un-ready").on("change ", function(){
                let showUnReadyRecords = $(this).is(":checked") ? 1 : 0;

                if ( showUnReadyRecords ) {
                    $.fn.dataTable.ext.search.pop(); // removes any filter already in place
                }
                else {
                    hideUnReadyRecords();
                }
                oTable.draw();
            });