rely want to get no mans sky running on this machine
It is OpenGL not OpenGlide which isn't a thing (Glide was from the old 3DFX GPUs) And to answer your question no it doesn't support OpenGL 4.5 as the hardware is too old. You will need to buy a newer GPU.
that is not strictly speaking true. yes the 5770 only suports openGL 4.4 but by using openGL intercept i am able to play the game at decent FPS(when the game is being nice to me) here is the link to info on it https://www.reddit.com/r/NoMansSkyTheGame/comments/4xk0od/fix_for_video_card_without_opengl_45/
i have learned in life that there is more often than not more than one way to skin a cat. happy skies!!!
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