Wrap a seasonal present
J, 16 15 bytes

[h"2[h"1 h=.,,[


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Thanks to Adám for 1 byte!

Explanation

[h"2[h"1 h=.,,[  Wrapper is x, present is y.
            ,    Prepend x to y
             ,   then append
              [  x.
                 This gives x y x, and the wrapper automatically spreads to form 2D slices.
         h=.     Save the above operation (not its result) to h.
    [h"1         Apply h to x and every 2D slice of the previous result.
[h"2             Apply h to x and every 1D slice of the result of that.