Hi, yes, make a fuss very much so. They also may come in from any nearby tree if that is a guide. And that can be a neighbour, or even a local council concern if you think it comes from a neighbour or even a tree in the yard.
Sounds like a home move may be less trouble.
When I said timber yard, that may be going too far. A local Bunnings timber section, or one of their wonderful problem solving folks, may have a tip that gets rid of them more speedily in the shorter term.
Sounds like not only landlord and agent but also the owner have let the problem go on without addressing or using preventative measures in the first place.