OS X Tiger on new macbook pro

You can't. A 2013 MBP was released with 10.8 Mountain Lion or 10.9 Mavericks depending on if it was the early or late 2013 models. You cannot install an operating system on a Mac earlier than the one with which it was released.

I'm at a loss to think of a reason why you would want to do this. Tiger predates Mountain Lion by seven years. Going in the other direction the 2013 MBP can support either Catalina (early 2013) or even Big Sur (late 2013).

Hi,

Which exact scanner model is it?

If necessary, you could perhaps have a look at third-party software such as VueScan.