A level chem electrode potentials help

Hi everyone, I’m a bit confused about the conventions when measuring standard electrode potentials using the standard hydrogen electrode (SHE). I thought that when you're measuring the standard electrode potential of something (e.g., Mg²⁺/Mg), the SHE is always the anode, since you're trying to see how likely the metal is to be reduced. So I assumed the SHE would always be on the left in the conventional cell notation (since oxidation happens on the left), and the unknown electrode would be the cathode.

But in a question I did, magnesium had a more negative electrode potential than the SHE, so magnesium was oxidised, meaning Mg was the anode and SHE was the cathode. That means in the cell notation, Mg went on the left, and SHE on the right, which contradicts what I originally thought.

So my questions are:

Is the SHE always the anode when measuring a standard electrode potential?

In conventional cell notation, do we always place SHE on the left? Or does the side depend on which way the redox reaction naturally goes?