If it's Leaving Cert there are lots of options -
Public libraries are available, I was in my local library today, free desks for studying,
Her school - all I'm familiar with have school libraries or classrooms open for studying for kids, as the schools are open anyway for exams
Colleges - eg Technical University of Dublin has opened all their libraries, in about six parts of the city, to LC students for studying, and sure to be others around the country doing the same.
And bear in mind that LC tends to be very full on for the first week, with back to back exams, so she won't be at home to hear the building work.
The LC is a big deal, but there are lots of places she can go to study, and you simply can't change your builders slot.
You were obviously very close to your previous neighbour, but these neighbours don't sound like they would be particularly friendly anyway, they sound very entitled and people like that don't usually want to be friends, relationships are transactional for them.
I'm sure you'll make friends with other neighbours, especially as you have young kids. Get them involved in the local GAA and you'll be flying.