What is the best thing to do with PUBLIC schema in Postgresql database

Since it could potentially be a security loop hole. So far the action taken to address it falls into these two
categories:

    drop the PUBLIC schema altogether. One of the concerns is with some of the system objects that have been exposed
throughPUBLIC schema previously, now they will need other explicit grants to be accessible to users. e.g
pg_stat_statements.
    keep the PUBLIC schema but revoke all privileges to it from public role, then grant as necessity comes up.

Any feedback and lessons from those who have implemented this?

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