Thanks for the clarification and suggestion. Here was my final calculation
if(format-date(${intake_date},'%a') = 'Sun' or format-date(${intake_date},'%a') = 'Mon' or format-date(${intake_date},'%a') = 'Fri', concat(concat(format-date(${intake_date},'%a'), 'day'),format-date(${intake_date},', %b %e, %Y')),if(format-date(${intake_date},'%a') = 'Tue', concat('Tuesday',format-date(${intake_date},', %b %e, %Y')),if(format-date(${intake_date},'%a') = 'Wed', concat('Wednesday',format-date(${intake_date},', %b %e, %Y')),if(format-date(${intake_date},'%a') = 'Thu', concat('Thursday',format-date(${intake_date},', %b %e, %Y')),concat('Saturday',format-date(${intake_date},', %b %e, %Y'))))))