Neighbor wants to cut our pine tree branch

We have a really nice pine tree right near the property line with our neighbor, and it has one branch that hangs over our neighbors driveway. Our neighbor has gotten increasingly upset that this branch drips pine sap on their cars and have told us repeatedly that the sap is damaging their paint jobs. We’ve asked them to try not parking directly under the branch but they haven’t been receptive.

Our arborist has told us that if we cut branches off of our pine trees they will get infested with these crazy pine beetles and die. Each of our pine trees are very valuable and of course take years to grow so we really don’t want to lose them. We have pine branches over our cars as well and we’ve handled by not parking directly under them and regularly running our car through the car wash and haven’t had any issues.

We’re ultimately worried that if we agree to cut the branch they’ll start asking us to cut other trees over or near our property line as well.

I’m a lawyer and I’m aware that they can cut the branch to the edge of our property line and we would just be able to sue for the tree value - however I can’t imagine a realistic scenario where I sue someone I’m probably going to live next to for decades. Any advice or suggestions about how to handle this amicably without losing our trees or getting into an actual dispute?