How do i adopt the Bakaneko?

[Spada]

The cat i see when scout the Arasaka complex with Goro

[MadPink]

You can adopt Nibbles who you find near your Megabuilding H10 apartment. Leave the apartment and go left. You'll find a data shard "FEED TEH CAT" in the trash. You need to put cat food in the bowl. Go back to your apartment and sleep. Go back to the dish and you'll find your new friend eating.

There are some food vendors that sell cat food in Kabuki Market. (There's other places to find it, but just go buy it)

[Tokenn]

There are mods that allow you have a cat in every owned apartment, and pet them too. But the other cats you encounter here and there in the game can't be 'adopted'.