Reflexive Verbs – Question

I have a question regarding reflexive verbs. In the assignment I am following along with, they want us to say "After I get up, I shave my face".

The marked correct reply is: "Despes de levantarme, me afieto la cara".

But I thought that generally the reflexive conjugation has to go before the first verb or at the end of the second verb. So something like this: "después de me levanto yo afeitarme la cara".
Can anyone explain how they got the correct answer?

submitted by /u/FupaWrangler
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