Question Need help with choosing cpu upgrade

May 25, 2020
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Current specs:
Cpu:ryzen 3 1200
Gpu:rx580
Ram:16gb 3200
Mobo:asus b350m-a

I use my pc for gaming mostly and when i buy a new cpu I will start streaming lighter fps games (rainbow 6, cs go)
I dont live in the US so these are the prices in my country:
Ryzen 5 2600-112eur
Ryzen 7 2700-140eur
Ryzen 5 3600-169eur
I know that the difference between the cpus will be smaller than most benchmarks because the gpu(which I plan to upgrade in 2-3 years max) will be the bottleneck. Which of the cpus should I chose, is the r5 3600 worth the added money or should I save it for a new gpu.