Hello! I'm remodeling my master bathroom and am struggling with the layout (see picture) because I'd like to install a linen cabinet, but don't know where I should put it.

I'm demo-ing the existing bathroom and will keep the shower and tub (freestanding) in the same place.

If possible, I'd like to install a linen cabinet to store some towels and also have a makeup table.
However, the existing makeup vanity area (see picture) is awkwardly too shallow for a cabinet with a reasonable depth, so if I tried to squeeze a linen tower cabinet between the adjacent vanity and the new makeup table, the cabinet would need to jut out beyond that area's existing shallow depth.

The other vanity (adjacent to the bathtub area) is approximately 59", so I could potentially put a double sink on that side, freeing up the area directly opposite that vanity for a linen cabinet. Then the makeup table could stay in the same place. However, (1) the double vanity might feel quite tight, esp. for the person who gets the sink right by the door, and (2) the new makeup table will also still need to jut out beyond the 12" wall recess in an awkward way unless I keep the existing shape (which I'd rather avoid).

Any suggestions for how I might lay out this bathroom so that I can have my cake (linen cabinet) and eat it too (makeup vanity)?

Thank you!