This phrase means 'regardless of' or 'no matter how…'. It is used to express the idea that 'whatever the state or condition of the noun, we should not care'.
It is used to convey indifference or a lack of concern about the state or condition of a certain thing or matter. You can think of it as 'no matter what' or 'regardless of' in English. The phrase shows the speaker’s strong intention to do something or an assertion of circumstance that doesn’t change regardless of the noun’s state or condition.