My aunt always kept Dachshunds. I think she was one of the first people to bring the long-haired ones to the US.
One day, she gave me a cat that she thought I would like. This cat (Duke) had grown up with her Dachshund, Prince.
A few years later, she wanted to travel to Europe for several weeks, and asked me take care of Prince. As soon as that dog walked through the door, our cat remembered him and the two were butting heads and loving one another up.
Yes, cats and dogs can get along together, even bond to the point of sibling affection if they’re raised side by side young enough, but to put two in the same room without that sense of familiarity is asking for lots of blood and fur to be cleaned up. It’s a rule of nature. Dachshunds were bred as hunting dogs. And cats are, well........cats.