This is a great question. I love birch trees. Betula Alba, my favorite.
I planted three at one time in a sun-shade pattern from 1 gallon pots twenty-five years ago. One didn't take. A second withered some five years later.
The third I cut into firewood just last year. I hated to see it go, but I just couldn't give it the deep watering it needed. It rotted above with all the grass watering, and it died below in the hard dry soil.
They seem to be very competitive, so consider planting more, and letting the stronger few win out. In any case, look into deep watering.
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