This tree is taking over

we bought a new build which has a fast growing tree in the front garden. It grows red/purple bushy blooms and the leaves are similar to a fern in a sense that there are many narrow leaves per stem off each branch. The problem is the rhizomes spreading a number of feet. We have cut them off time after time but I am concerned about the drains and patio at the front of the house. Can anyone help identify it so I can learn more.
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I think SBK brushwood killer would eventually kill the suckers, but if you don't want to use a weedkiller it's a case of digging them out by hand.
I found this old thread where someone had the same problem
https://forum.gardenersworld.com/discussion/87417/stags-horn-sumach-tree/p1