Add the Data Extension records to Publication List using SSJS. Details: https://vijayasankarn.wordpress.com/2021/05/18/marketing-cloud-add-data-extension-records-to-publication-list-using-wsproxy/

DataExtensiontoPublicationList.ssjs

<script runat="server">
    Platform.Load("core", "1");
    var prox = new Script.Util.WSProxy();
    try {
        var DE = "DataExtensionObject[MyDataExtension]", // Replace 'MyDataExtension' with your Data Extension Name
        options = {SaveOptions: [{'PropertyName': '*', SaveAction: 'UpdateAdd'}]},
        cols = ["EmailAddress", "SubscriberKey"], // Replace the field names matching your Data Extension
        moreData = true,
        reqID = null,
        numItems = 0;
 
        while(moreData) {
            moreData = false;
            var data = reqID == null ?
                prox.retrieve(DE, cols) :
                prox.getNextBatch(DE, reqID);
 
            if(data != null) {
                moreData = data.HasMoreRows;
                reqID = data.RequestID;
                for (var i = 0; i < data.Results.length; i++) {
                    var result_list = data.Results[i].Properties;
                    var obj = {};
                    for (k in result_list) {
                        var key = result_list[k].Name;
                        var val = result_list[k].Value
                        if (key.indexOf("_") != 0) obj[key] = val;
                    }                

                    var publicationList = { 
                        EmailAddress: obj[cols[0]],
                        SubscriberKey: obj[cols[1]],
                        Lists: [{
                            ID: 1234,
                            Status: 'Active'
                        }]
                    };
                  
                    prox.updateItem('Subscriber', publicationList, options);
                }
            }
        }
    } catch(e) {
        Write(Stringify(e));
    }
</script>