Page Six may be compensated and/or receive an affiliate commission if you click or buy through our links. Featured pricing is subject to change. Bethenny Frankel knows how to sniff out a good budget-friendly beauty buy. So when the self-proclaimed “accidental influencer” posted about Alt. Crystal No. 23 Extrait de Parfum on Instagram Stories this month — and compared the $40 fragrance to Maison Francis Kurkdjian’s $360 Baccarat Rouge scent — we were immediately intrigued. “This smells so similar to Baccarat for a fraction of the price,” she wrote, saying she was “shook” by the find. She kept the praise coming on her shopping account, The…