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Probably your 6300 SFF came with a 240W Power Supply which is definitely enough for your planned setup. I had a similar setup running with a 200W PSU for years.i7 3770 needs about 75 to 80W maxGTX1650 or 1050Ti needs about 65 to 75WMakes total 155W peak for GPU and CPU and still leaves 85W for motherboard, fans, etc...Here I also found someone running a 1050Ti in his 6300SFF[URL unfurl="true"]https://forums.tomshardware.com/threads/graphics-card-upgrade-on-a-hp-compaq-pro-6300-sff.3047690/[/URL]your eGPU idea is very interesting but since you said your budget is limited, maybe a mid-spec second hand PC would be overall cheaper.
Probably your 6300 SFF came with a 240W Power Supply which is definitely enough for your planned setup. I had a similar setup running with a 200W PSU for years.
Makes total 155W peak for GPU and CPU and still leaves 85W for motherboard, fans, etc...
Here I also found someone running a 1050Ti in his 6300SFF
[URL unfurl="true"]https://forums.tomshardware.com/threads/graphics-card-upgrade-on-a-hp-compaq-pro-6300-sff.3047690/[/URL]
your eGPU idea is very interesting but since you said your budget is limited, maybe a mid-spec second hand PC would be overall cheaper.