How would I backup my iphone if it cannot stay on for more than 10 minutes?

Hello everyone, this question is about my iphone 13 pro 256gb. It has recently been freezing, and then restarting every 10 minutes. I went to an Apple store and upon getting it checked by someone, they told me it was a logic board fault in the device, and they will replace affected parts free of cost and in a timely manner, but they cannot guarantee that the 180gb of data i currently have on the phone would be there after the repair, and I should do a backup of my current data. I have looked into doing both an icloud backup and itunes backup to my computer but they are not fast enough to be done by the time the phone restarts. I have tried doing both as soon as the phone restarts but they cannot finish in time as the phone restarts in the middle of the backup. I was wondering if there was any alternative way to back up my data? One solution I've thought of are doing gradual backups of the data, like 20gb or something each in the intervals the phone restarts, but I haven't been able to find any setting or option that would let me do this. Does anyone have any ideas or solutions so that I might be able to back up my data?