firstly understand the context which is smooth manifolds, for simplicity imagine a 2d manifold embedded in 3d space - so a sheet of rubber that can pass through itself but can’t kink or do any funny business, just like in that sphere inversion video.
the definition of a manifold is basically that it can be built out of patches (sheets of rubber in our analogy), for instance to make a sphere, we need two sheets of rubber (ignore the actual logistics of the deformation required).
Now say that our sheets of rubber come with a textured and a smooth side, there are two ways to attach the sheets of rubber to make a sphere, one of which produces a sphere which is entirely smooth on the outside. This is what we mean by orientable, we can build it out of patches with a consistent “outside”.
Consider the counterexample of a mobius strip, which we construct from a single strip of rubber by attaching one end to the other “backwards” (rough-smooth). Since we have defined it this way, it cannot be orientable. The klein bottle is another example, but somewhat cooler than the mobius strip since its a surface without edges.
There are many other definitions of orientable depending on the context, since manifolds are a lot more general than I have shown you here.
I don’t know what orientable manifolds have to do with being responsible.
you could try turning the laptop on.
as for flashing, make sure that you have the pins correctly connected on the pi side. if you’re using some color code you found online, it may not apply to your clip - consult the chart and follow the wires manually. the pins on the chip are numbered counterclockwise starting at the dot. You can also try reseating the clip a few times, some clips can be finnicky.