Kuchlar, I'm curious where you got the bauhinia seeds from? They're truly exotic beautiful shrubs/trees (I don't know how tall yours will grow to). When it is older like a couple years old, will you be able to plant it outside permanently? I read that they can continue blooming over a period of several months - a real feast for the eyes!
I know some can take a bit of light frost even though it's native to India. Some parts of India can get fairly cool in winter. We have a large population of Indian people here, most from the Punjab, & while our climate here , both summer & winter, is colder than the Punjab, it's not a big difference usually.
Please keep us updated about your new seedling. I love to know how plants that I'm interested in do for others & perhaps I can learn something about growing them from you. Maybe you can post photos of i as it grows so we can see its progress.
Hope your weather isn't as miserable as ours. I can't really complain as we've had no disastrous weather but it feels like winter is here. It's dreary, wet & raining most of the time & far too dark & cold outside to enjoy being outside at all. I'm busy in my kitchen more now making breads, soups, stews, & hot nourishing winter type foods instead.
I'm including a photo of a couple of bauhinia species so others can see what gorgeous blooms they have. It's also called the orchid tree although it's not really an orchid.