Oh apologies with a missed detail. The battery+switch and the lightbulb are 1 meter apart and are connected by a wire that is 1 lightyear long.

Assuming that electricity is only carried inside the wire (like our conventional understanding and models expect), yes it does break the speed of light but electricity doesn’t actually travel inside the wire but in the electric field around the wire, which gives the wire near the battery to affect the wire near the light and create a tiny voltage difference, thereby nearly instantly lighting the lightbulb that reaches max brightness on any voltage differential.