That looks like an ‘accent’ piece, not fully functioning furniture. The screw on legs, for shipping and consumer assembly are either inadequate with a metal screw fitting or penetrate further to compromise the ‘drawers’. I doubt the drawers open, even with a push in spring mechanism.
Its the look she likes so divide the front into three, one extra very small gap in the front and make the middle section a drawer. With the drawer on rails the front can be deeper than the drawer and the moulding section at the front can be rounded at the back to make a comfortable drawer pull. The moulding ends on the drawer can be angled so as to break the visible line.
This keeps the table ends free to properly attach the legs into the body of the table. The size of the drawer may end up wider than deep, that does not slide well so keeping it on rails with guides solves that problem.
For me not having a lathe would make the legs the hardest part!
You can do a lot with very little! You can do a little more with a lot!