Earlier quoted context omitted.
Adequate test coverage is hard without rebuilding from scratch. Hard to expect in a big, old company. Except when a huge codebase have to be rebuild because python2 have to be replaced (one of our software provider is in this case).
Out of all the items on the list (code reviews, CI, etc), it seems like test coverage would be the simplest to improve? Assuming it has a test suite at all, use one of the various test coverage scanners (simplecov, coverage.py, etc) and check the output for a file with a low % of lines covered. Then write one or more tests to cover the edge cases not yet tested. It's a purely mechanical process unlike most of the oth…
Adding the first tests can be a slow and painful process.
Now, once you have those few tests? Yep! Add a few tests along the ones for the new functionality every time you touch a piece of code or pick the low hanging fruit every now and again and you can get to a useful test suite in no time.