R9 290 recommended psu is 650w. That card can and does spike over 300w easily. The FX 8350 is a 125w cpu, that'll top 200w without issue at stock values if pushed. Add another 100w for the rest of the system and you are looking at a 600w capability.
It's an FX. If not overclocked sufficiently, it's going to see very high usage in anything multicore such as gta5 or mmorpgs etc. It's a R9 290. That'll handle ultra settings at 1080p, but again, it's going to get pushed. You are looking at gaming loads easily in excess of 500w on the system before any OC at times.
While the Seasonic S12-II 620 is still a workhorse quality psu and the best of that bunch by a long shot, it's still perfectly suitable for that older system, but it's too small by a decent amount. 1 good heavy server 64man raid in WoW will tax that system hard and because that older psu doesn't have the protections that newer units do, it's entirely possible it'll trip and shut the gpu down or even the entire pc.
That's worst case scenario.
While you may not like the prices, honestly, shortchanging the psu is not healthy for the pc or yourself. I'd be looking for a newer, quality unit, at least 650w. The Evga B2 750 would be a good choice or any of the -G2/3, GS series, Seasonic Focus, Corsair CXM, RM, TXM, CoolerMaster V, BitFenix whisper M,