Glue spots on veneers that stop stain being taken up by the veneer are a constant thorn in the side on any kit guitar. In a factory making lots of cheap guitar kits, you won't get the same level of attention and care as on expensive kits. Most glue spots can be removed with the right glue remover, as long as you find them all first by dampening the wood. But some are pretty stubborn, especially around the edges, and you may need to consider

There's no guarantee that you will get glue spots and many don't, but around the line joining the veneer pieces together and round the edges are the main areas to look for them. With veneer tops, it's more reliable to plan to use tinted clear lacquer rather than stain or dye.

But that almost always involves using nitro paint, which is both expensive and also nasty stuff to use, so you need to spray outdoors or in a well ventilated workshop. Not for spraying in your home.