How do I determine if my integrated Intel graphics support "Shader Model 3"?

I am trying to play a Steam game on Ubuntu. The game requires "Graphics: Shader model 3".

How do I determine if my integrated Intel graphics support Shader Model 3?

At present, when I launch the game, I hear the audio, but the screen is entirely black.

Running glxinfo | grep OpenGL yields:

OpenGL vendor string: Intel Open Source Technology Center
OpenGL renderer string: Mesa DRI Intel(R) Haswell Mobile 
OpenGL core profile version string: 4.5 (Core Profile) Mesa 18.2.2
OpenGL core profile shading language version string: 4.50
OpenGL core profile context flags: (none)
OpenGL core profile profile mask: core profile
OpenGL core profile extensions:
OpenGL version string: 3.0 Mesa 18.2.2
OpenGL shading language version string: 1.30
OpenGL context flags: (none)
OpenGL extensions:
OpenGL ES profile version string: OpenGL ES 3.1 Mesa 18.2.2
OpenGL ES profile shading language version string: OpenGL ES GLSL ES 3.10
OpenGL ES profile extensions:

I am not sure which (if any) of the above lines answer my question.

You can run

glxinfo | grep OpenGL

shading language version string will show you version of shaders.

E.g.

OpenGL shading language version string: 4.60 NVIDIA

Your system doesn't support shaders version 3.