Or directly an invoice ;). First include the "causer", I would involve the municipality later.
I would do it the other way around and report the subsidence to the municipality in writing (burden of proof) and also immediately specify who did the work. Someone from the municipality will look at it and, if necessary, call the utility company via a short official channel.
If you do nothing now, it could cause trouble later on. However, the legal situation is a bit special here. A company was commissioned that specifically had the authorization to open the street. So, as the owner of the neighboring property, you initially have nothing to do with it.
If it is a construction road, it doesn't matter anyway, as a completely new road will be built in 1-2 years.