By Veronika Bondarenko Hair care brand Madison Reed just closed a $33 million funding round. You will often hear of fintech or blockchain startups securing eight-figure funding rounds from optimistic investors, but for beauty brands, that kind of confidence is significantly less frequent. Madison Reed, a San Francisco-based brand of hair dyes and other products, is built partially on a subscription model that saw significant growth during the pandemic — in 2020, its sales jumped by 130%. It also operates 60 hair salons across the country and sells its products at stores like Ulta (ULTA) – Get…