Whether Amur will ever fly, or even become hardware ... I'm not holding my breath.
[1] https://arstechnica.com/science/2020/10/russian-space-corpor...
There was a Raptor 1 full upclose to which he said something along the lines of, paraphrasing, "If you copy these then good luck to you, you're in for pain".
I'm sure they still know a thing or two about rocket engine design(!) but I can't help think that brain-drain will get the better of them sooner or later. These things require innovation, not just brute forcing old designs.
The idea that they could just build a reusable rocket is just not in the car.
Mostly what the Russian space program has been doing is announcing one absurd program after another. The amount of power-point designs announced by Russia is comical. They have announced a reusable rocket but like so many of the other projects, its mostly just propganda.
Also its entirely possible the cost of a Soyuz launch is cheaper than a Falcon9 despite re-use, due to it being used for so long and slightly smaller.