You have multiple problems in your scene. First of all: why is Shadows > Light Threshold set to a ridiculous high number of 100? Set it to the default 0.01:
Secondly, your scene's dimensions are still quite large, the spotlight with 700 W quite weak (but also the large Radius size makes the energy spread over a larger area and therefore darkening the light). But even if you set it to 10000 W, you have disabled the Scene World for the Rendered view. Which means, although you have set the world to black, the scene is lit by a default HDRI from the Material Preview mode which is bright enough to make it hard to see the faint light of the spot. If you want the world black, enable Scene World. If you want the scene to be illuminated by an HDRI, you have to do this in the world settings - the default preview HDRI will not be used for rendering so your world environment is black. But note: HDRI environments throw no shadows in EEVEE, you need light objects for that.
And even when you change all this - perhaps also make the scene smaller to get better lighting (by the way the objects will not throw shadows when they are already in the dark, because the spot points away from them) - then you will not be able to render the scene and get an error "no render output node in scene" when you hit F12, because the Compositor is set to Use Nodes, but the nodes have been deleted. So either disable it if you do not want to composite anything after rendering, or add at least an Input > Scene > Render Layers node and an Output > Composite node to the nodetree and connect the two Image sockets.
Other less important issues are for example, your blue plane object has its Alpha set to < 1, so it is semitransparent. But in the Material Properties > Settings the Blend Mode is Opaque, so it will not show any transparency.
I only wonder why you have changed so many settings that would have worked by default when you do not know what they are used for...?
