Hello everyone,
thanks for your contributions.
My husband researched, there is now a technology where companies can use a camera to look inside drainage pipes, and if roots have grown in, they are cut off and the spots are sealed with epoxy resin – all from the inside and without digging up the pipes. So to speak, "endoscopically." I don’t know what it costs, but at least it relaxes me a bit regarding the garage. It would definitely be less effort than digging up paths and soil.
Unfortunately, for the spots further west along our house wall, that is not a solution either, because there are also drinking water pipes and hoses with coolants buried there.
But maybe this info helps you.
At least for me, it will be either knotweed or rose at the garage!
The house will just remain bare, with little boxwood balls and perennials in front, so be it.
Best regards