How many mocks to write , bare minimum till cat 23

It depends on the level of your preparation. If you prepared for the exam in anywhere less than 6 months in this case you should not focus very much on mocks instead you should revise and practice the topics which you have covered you can just attempt CAT 2022 question papers as mock and you will be more than fine to go. In other case if you have already completed your whole syllabus and revised it multiple times and you do not have any new topics to cover then only you should go for mock practice. In this case, around 10 mocks along with the past 5 years' question papers are more than enough.

Thanks for that detailed response.