Synonyms of 'at all costs'
▷ See cost
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at any price
If you say that someone did something regardless, you mean that they did it even though there were problems or factors that could have stopped them, or perhaps should have stopped them.
Despite her recent surgery she has been carrying on regardless.
Thesaurus for at all costs from the Collins English Thesaurus
If you say that something must be avoided at all costs , you are emphasizing that it must not be allowed to happen under any circumstances .