Why do planets orbit at the same level as each other?

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By that, I mean, why do planets always orbit… horizontally(?) around the sun. Why not vertically? Space is a 3D space, I’d course. So why would the planets not end up going up as well as sideways?

Edit: Space science is a lot more complicated than I thought, and I am here for this rabbit hole. Ty everyone for your answers so far!

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Essentially, after the sun formed there was a 3d cloud of dust around it. Overtime as this dust collided it flattened out into the proto-planetary disk. This was a flat plane that sat at the same inclination the planets now sit at. The reason the planets all orbit in more or less the same plane is because the materials they formed from were orbiting in that plane from the disk. Also angular momentum is very powerful and it requires a lot of energy to change orbital inclination

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