With 30 total cars available from a Level 23 Ticket, getting 3 out of 4 cars to be the same is a bit of bad luck. As DDAAVVIIDD82 pointed out above, it is pretty much random, as I haven't read anything around here about influencing which car comes up.
From my experience, it just depends on the day, the alignment of the stars, etc. In the past, I've opened 1967 Tickets trying to acquire 4 different cars. Within a few tries, I got three of the four. The last one took me over an hour to finally get.
So, a little bit of luck is all you need, but eventually, you will get the car you want from a ticket, if you backup your game save before opening and reload if you don't get the car that you want. Good luck! 👍