theres no need to to an over priced ABD tour in Ireland, DIY either renting a car or using local tour bus companies is a much better way to the country and you will get to see the real Ireland, not a sanitized ye olde Darby O'Gill version of Ireland.
The tour company I would recommend is
Paddy Wagon Tours
If you want to come to Ireland for St Patricks Day you should check out the official website
St Patricks Festival
St Patricks Festival both the official one and the local parades around the country has been cancelled in 2020 and 201 due to Covid, and all events have been online.
It is far too soon yet to say if the in person events and parades will happen in 2022.
Also PLEASE PLEASE stop saying "ST PATTYS DAY" Its St Patricks Day. Patrick is male name and the short for Patrick is Paddy, which comes from the Irish name for Patrick, Padraig. So its correctly called Paddys Day. Patty is the American term for the short of Patricia. Patty is not used in Ireland for females. Females in Ireland whose name is Patricia are called Pat, Patsy or Tricia.