Is this your output from glxinfo? (edit: I took that from the link you gave)
Blockquote
glxinfo | grep OpenGL
OpenGL vendor string: Intel Open Source Technology Center
OpenGL renderer string: Mesa DRI Intel® HD Graphics 4600 (HSW GT2)
OpenGL core profile version string: 4.5 (Core Profile) Mesa 21.2.1
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 21.2.1
OpenGL shading language version string: 1.30
OpenGL context flags: (none)
OpenGL extensions:
OpenGL ES profile version string: OpenGL ES 3.1 Mesa 21.2.1
OpenGL ES profile shading language version string: OpenGL ES GLSL ES 3.10
OpenGL ES profile extensions:
Have you tried using environment variable to force mesa to use compatibility context? Run MESA_GL_VERSION_OVERRIDE=4.5 wine 'path/to/your/app.exe' (or just use explorer instead of path to the app. I use that a lot.) and test that app again.
For science, lol, you can run MESA_GL_VERSION_OVERRIDE=4.5 glxinfo | grep OpenGL and look at your shading language version again.