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Not sure which is the better choice between the $100 5500 or the $110 3600.
For a budget banger gamer, I don't think you can go wrong with either.
The pros of the 3600 are bigger cache and PCIE 4.0. 4.0 is more of a checkbox in reality. Not going to make any real world difference for gaming. Even storage speed differences won't matter in a practical sense, only in benchmarks. The cache helps for gaming overall. Also very little chance any board you buy won't support it OOB.
The cons are limited overclocking overhead if any. Lackluster memory speeds v. Zen 3. And needing a 5 series board to even use the PCIE 4.0.
The pros of the 5500 are better IPC. Better memory speeds. Better overclocking; 4.6-4.7GHz is very doable with little effort.
The cons are PCIE 3.0 and less cache. Some chance that a board won't have a UEFI new enough to support it. My experience has been that buying from Amazon, the stock moves so fast that hasn't happened to me with the last 4 boards I bought.
Overclocked 5500 is the better choice. Stock speeds it is a wash. I won't go into productivity. If that's a requirement, these aren't the droids/CPUs you're looking for.