If you are doing CA than no need to go for PSU.

As there are many high demands and rewards for CA which in PSUs there are less salaries as compared to private companies.

You should continue to study and wait till your articleship is completed and then also you are not having cleared
CA Final then you should try for Bank Exams as it will make you sharper and faster in calculation and alertness purpose.

Banks are recruiting small and large numbers of persons every year and it will be a good experience.

All the Best

In my opinion, we should not prefer PSU. As there are no scope to work and even u will not get good exposure as required.