Upgrade or re-build?

[BattleToads]

Hey guys, here are my current specs:

 

Intel i3 3220

8 GB RAM

GTX 650 Ti

2560x1080 60 Hz monitor

 

So obviously, I'm not looking for a monster here. If I just threw in a 1050 Ti, would my i3 bottleneck it? Would my i3 cripple me in modern games? Basically, I'm asking if it would be feasable to simply upgrade the GPU to get better performance in games like Overwatch and Planet Coaster (which is surprisingly demanding in the graphics department.) Alternatively, would I be better off to just build another budget system for about 5 times the price of a simple GPU upgrade? As long as I can play at 2560x1080 at 60 FPS on high-ish settings, I'm fine. 

 

Thanks in advance. 

[Guest]

What is your budget?

[BattleToads]

entry/mid-level budget

[Guest]

5 minutes ago, BattleToads said:

entry/mid-level budget

more specific?

[BattleToads]

$650 max

 

[NTDaws]

us?

[NTDaws]

PCPartPicker part list: https://pcpartpicker.com/list/49RxRG
Price breakdown by merchant: https://pcpartpicker.com/list/49RxRG/by_merchant/

CPU: Intel Core i5-6400 2.7GHz Quad-Core Processor  ($174.99 @ SuperBiiz) 
Motherboard: ASRock H110M-ITX Mini ITX LGA1151 Motherboard  ($63.99 @ SuperBiiz) 
Memory: Avexir Core Series 8GB (1 x 8GB) DDR4-2400 Memory  ($41.98 @ Newegg) 
Storage: ADATA Premier Pro SP600 256GB 2.5" Solid State Drive  ($77.99 @ Amazon) 
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive  ($48.60 @ OutletPC) 
Video Card: Zotac GeForce GTX 1050 Ti 4GB Mini Video Card  ($138.99 @ SuperBiiz) 
Case: Thermaltake Core V21 MicroATX Mini Tower Case  ($50.98 @ Newegg) 
Power Supply: Corsair RM 550W 80+ Gold Certified Fully-Modular ATX Power Supply  ($59.99 @ Newegg) 
Total: $657.51
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-12-05 14:13 EST-0500

[NTDaws]

Not sure if the power supply fits, just look at the thermaltake website

[BattleToads]

but for the time being, could I not just throw a 1050 Ti in my current rig?