Yes. I would install Windows 10 64-bit. What is the minimum space requirements for that?
If you are just planning to run a 64 bit Windows 10 on it, coupled with the mining software, the 128 GB SSD is enough. Windows only takes around 25 GB of that space. If you are planning on doing more than mining on that machine however, I would suggest a 256 or even a regular HDD as backup.