Mystery kitty in our garage. Rosie is not impressed.

So this cat appeared in our garage in Thonglor about six weeks ago. Grey and white, very thin, no collar. Rosie (our dachshund, 6 and half) saw her first and started barking like someone was breaking in. The cat did not run. She just sat on the shelf and looked at Rosie like a princess. I think that is when I knew I was in trouble. We put food and water outside the gate. For the first week nobody touched it except the ants. Then one morning the bowl was empty, so we know it is her. I told my wife we are not keeping a cat, we already have Kao and Rosie and that is enough. My wife bought a cat bed on Lazada the same day. She hid under the stairs for almost three weeks and I could hear her at night when the rain came. Rosie would sit at the bottom of the stairs and whine. Every time I came home she disappeared. I did not believe the neighbour when they said she was a stray that lived near the Sky train, but she was. Today I finally managed to get her out with a bit of tuna and she came to me, rubbed her head on my sandal and then went straight into the kitchen like she owns the place. Rosie is not impressed at all. She just lay down with her chin on her paws and gave up. We will take her to the vet next week to check for everything. I am also not sure what to name her, my wife says Mochi, I say the cat has a face like a Mochi already so maybe it is fine. Definately not planning to keep her forever. But the bed is already in the living room.