Power Query M code
let
Source = YourTable,
AddedDate = Table.AddColumn(Source, "ParsedDate", each
try Date.FromText([DateText], "en-US") otherwise
try Date.FromText([DateText], "en-GB") otherwise
try #date(Number.From(Text.Start([DateText], 4)), Number.From(Text.Middle([DateText], 4, 2)), Number.From(Text.End([DateText], 2))) otherwise
null,
type date)
in
AddedDate