Company wants me to use my own laptop - is that normal?

Hi everybody! I will start a new, fully remote position in March. It states in the contract that all necessary equipment, such as laptop and keyboard, will be provided.

Now the HR-Manager I've been in contact with asked me if it's okay if they send me my laptop AFTER my 3-month-probation period is over. So they're expecting me to use my own laptop for three months?! (I don't even own one to begin with, only a tablet). I've worked plenty of remote jobs and this has never happened to me before. Seems super sketchy and unprofessional. But maybe some companies in Japan do it? This is my first remote job here, so i just wanted to hear some opinions about it - what do you think?

(I obviously told them no and asked to send the equipment)