Confused about hotel sleep arrangements in Japan for 13 months old

I cannot find a hotel in Tokyo that has a cot for 12/13 month old, most are recommending to bed share but we have never done that. I know that is normal in Japan but we would like to avoid it.

Our baby is a sensitive sleeper but usually sleeps ’normally’ in hotel cots as long as there is area like walk in wardrobe or bathroom where cot can go for extra darkness.

I would appreciate any recommendations for hotels which have cots to older age or if it’s best we buy travel cot. If latter, we will be staying in 4 different places in 2 weeks so we want one that is ok to transport.

Thanks very much.