This is all a bit 1970’s committee rooms isn’t it.
Minutes should be issued as soon as possible after meeting, asking for feedback/corrections.
Following feedback the final minutes are issued ASAP.
Next meeting is just for formal approval.
You can’t wait until next meeting to approve as you could potentially have weeks or months of a misunderstood or incorrect minute.
Thats how it works in my company and how it’s worked everywhere I have ever been.