Why are you worried about the seat tube? It's the seat post you might should worry about. If it's too short, then you may not be able to get the extension needed from the seat tube for the saddle height you require.

A lesser issue for seat tube length might be that your bottles might need to be short. But not knowing all the other geometry of the bike, it's hard to say if that will be a issue. Just like it will be hard to say if your fit to the bike will be a issue not knowing all the other geometry of the bike. As well, what things you seek from the bike and how you ride most of the time. Hard and demanding or more relaxed.

I've ridden 64, 60 and 59cm vintage bikes all comfortably. And currently ride a modern 56cm bike.