I went through this.
40ft leylandii in neighbours garden blocking light.
I was dreading the conversation but it turns out neighbour didn’t particularly like it either as it took up half their garden, they just didn’t know what to do with it and was a afraid of the pro’s as they though it would be expensive.
I offered to pay and organise a tree surgeon to cut it down completely, which they did (£300 including 2 others and took 2 of them all day). Afterwards the neighbour was so pleased they gave me half the money.
In the end it was his tree but I had the bigger problem with it. For the sake of a few quid it has gone and everyone is happy.
Talk to them, good fences make good neighbours.