Need an advice to reconnect with a girl I met coincidently.

Hello everyone. I am 38 Male 3 months ago coincidently on a Facebook met a girl 31 from my home city which I don't live in anymore since 8 years. I liked that girl initially I found her cool and funny, but unfortunately we don't have any kind of mutual friends. Immediately I sent her s friend request which she accepted thr day after. That day was coincidently her birthday so I wrote a message to tell happy birthday, shortly she answered. I wanted to open up a conversation with her so I asked her about highly possible mutual connections who are living in the same city and if we met coincidentally through those people before, but she had no Idea about those people. She asked me few questions where is my city of origin I answered her with a bit longer detais but she didn't go further in questions and the conversation died. At the moment I wish to reconnect with her with the purpose of dating as I initially like her and we have many values in common. I have no idea if she is already with someone else. Now I am pretty in brainstorming mode what's the best way to reconnect? Is trying to be indirect and try to reopen a conversation with her? But maybe she gonna think that I am just playing around? Or go with a direct message to inform her that I want to know her in dating aspect? But here I am as well concerned because unfortunately some people think that direct approach is lazy and they can go far and stigmatized. Any advices and sharing thoughts are welcomed :))