Using 'redundantly' to describe repetition can itself be redundant—avoid saying the same thing twice. The phrase 'redundantly repeat' is often tautological; simply 'repeat' suffices.
Pro Tip 2/3
Emphasize Excess
'Redundantly' is useful when emphasizing unnecessary excess, such as over-preparing. He explained the instructions redundantly, as if we'd never heard them before.
Pro Tip 3/3
Spot Overuse
Be aware of 'redundantly' overuse which can irritate readers or listeners by stating the obvious. She redundantly pointed out the rules, even though we all had the handbook.