GTX 1070 to 2060s (Super) will it kill my PSU?

[robgmun]

I recently bought a new computer, the specs are MSI Aegis 204/i7-6700/16GB Ram/1TB HDD/GTX 1070/

It's the second column in this chart:
https://uk.msi.com/Desktop/Aegis/Specification

According to this, the PSU is a 350W 80 Plus Bronze. According to Nvidia the max load on the 1070 is 150w and on the 2060s is 175w

I'm worried this will trip the PSU when gaming, I'd like some opinions on if this would be too much of an upgrade for this PC with this PSU, as the PSU is quite small and i don't think is upgradable

 

[robgmun]

Thanks @Memphis_Raines, i find your post to make the most sense. @pastymuncher hasn't taken into account the rest of his system is significantly more powerful with water cooling and his CPU is extremely overclocked, this takes up power. I think i'm safe getting a 2060s but not much more than that. I would have thought the 20xx generation would be more power efficient for similar power.

My gaming is going to on the lighter side with things like SF5 Rez Infinite and probably my most demanding game would be Skyrim remastered at 1440p. I'm more getting it for video decoding abilities as my 1070 is unable to decode HDR steams from Youtube and all the load is on the CPU. This PC hooked to my 4K OLED in the living room.

 

[robgmun]

For those talking about upgrading the PSU, i don't think it's really an option, you can see it more clearly in this video how the computer is laid out

It's very small but I'm the PSU chosen was the one to go with the 1070, so i was wanting more of a side-grade but 20xx for the video decoding instructions primarily. Maybe I just go for the normal 2060

 

[robgmun]

When you say you recently bought this PC, was it new or second hand, as that CPU is 4 years old and hasn’t been manufactured for a long time now.

It's 2nd hand but it was in pretty great condition