[adverb] [not gradable]Admittedly (= I must accept even if I do not want to), I could have tried harder - but I still don't think all this criticism is fair.The policy is seen to have failed, although admittedly it was never treated fairly by the press.
ADMITTEDLY
Meaning of ADMITTEDLY in English
Cambridge English vocab. Кембриджский английский словарь. 2012