As you're probably realizing - most, (all at this point?) plywood is slightly undersized, and/or metric depending on the source, mostly by roughly 1/32", (0.03"). That said, sanding to flush things out, (assuming you're re-finishing the whole piece), would be the most common approach here, or alternately, milling a true 3/4" piece of a comparable wood species would work. The grain is a little wild there, which suggests some "exotic" species, but you may be able to get a stained piece of cherry or walnut to match, (the photo makes that piece look a little "redder" than walnut, but it may be the lighting.
If it were me, I'd stick w/ the solid wood route here, as a 4'x8' sheet of 3/4" cabinet grade cherry or walnut veneered ply would be VERY expensive, considering the very small amount it looks like you need. From your pic, it doesn't look like you need more than a ~3"x18" piece?