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The magnetic spin of an electron can only be +1/2 or -1/2. This is because of the Pauli exclusion principle where there can only be two electrons per orbital, and that the electrons must be spin paired. So, one electron must go in an upwards spin (+1/2) and the other in a downwards spin (-1/2). As far as writing them out, you can choose to write either +1/2 or -1/2 as it doesn't really matter.
As mentioned, ms can be either +1/2 or -1/2, and it's pretty arbitrary unless the question specifically provides the spin. The most important thing to note is that no two electrons in the same atom can have the exact same four quantum numbers.
ms can only equal +/- 1/2. Each electron in the orbital can only take one of the values. For example, in a Pz orbital, two electrons can be in this orbital. These electrons can't have the same ms values so one must be +1/2 and one must be -1/2.
As everyone above mentioned, the only two possible values for ms are +½ and -½. In a quiz or test, the spin of the electron will most likely be easy to determine given the wording or information provided in the question, so I don't think you need to worry about it too much!
When asked to write the ms of a certain configuration you just have to pick one of them since each refers to one electron spinning one way. Since there is no definite way to know you can pick one, +1/2 being up spin and -1/2 being down spin.
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