I am not an expert, but based on books and articles I've read[1], forests tend to do that. I think you don't even need a large patch of forest for it to attract rain, anecdotally.
[1] Get an old copy of The Forest and The Sea by Marston Bates, if you can.
"In 1960, he published the ecological science book The Forest and the Sea, an introduction to how ecosystems work. He compares a rain forest and a tropical sea, their similarities and differences, and through it demonstrates how to understand biological systems."
https://en.m.wikipedia.org/wiki/Marston_Bates
Influential book, I believe.
This has come up due to Ethiopia’s Grand Ethiopian Renaissance Dam and the plans being made on how quickly to fill up its reservoir.
I mention this as making forests in the desert is going to end up being a political issue and will likely be used in arguments over water rights in the region, even if its total draw is inconsequential.