How many bedrooms is it in total?
If the small room is the only other bedroom where will the baby sleep and play in a years time, 2 years or more? Yes babies only take up a tiny bit of room but buying a house is a longer term plan than the months that they're babies. I would think that is a bigger problem than a bath. Is the bathroom big enough to renovate or add a bath down the track.
Without knowing all the details it sounds like a very short term plan and not a house to stay in long term so unsure why you're considering buying it.
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