[Avodah] My tree grows into your garden, can you force me to trim the tree?

[Marty Bluke via Avodah]

We have a tree that is growing into our neighbors garden and they would
like us to cut down/off the branches that are growing into their garden.
Strictly speaking al pi din, am I chayav to cut down the branches that are
on/over their property? I would like to understand what the chiyuv is al pi
din.
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