Haven't used ink with godot specifically but it's a really nice language for writing branching dialogue in imo. It feels lightweight and has many nice features easily available. For someone familiar with programing, it has some questionable choices when it comes to the scripting language but that's more there for writers who want a bit of scripting, if you know the programming side of things as well you can just put that logic in a real programming language.
I've been out of the loop for a whie, but in godot, dialogic was amazing. Least it was back in 3.5.
The Godot 4 version is in alpha, I could try it anyway though
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