In theory, aluminum oxide as an amphoteric oxide can be soluble in strong alkali, and I used Y-alumina, but the experiment found that it is completely insoluble. Please find an explanation and dissolution method.
It should be soluble, but the rate of dissolution varies based on particle size and thermal history. "Completely insoluble" is not likely; you may want to separate the supernatant liquid from the solution by filtration or centrifugation and analyze for Al by IPC, to get a sense of the actual rate of dissolution.
Also, of course, dissolution rate can be greatly enhanced by temperature, so it's worth trying hot or even boiling base solution (but be careful about self-protection from caustic droplets).