Karnaugh Map minimal SOP form

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I have a hoemwork and must be done without boolean algebra

Please simplify this function with K-Map only

$F = ABC + A' . B . (A' . D')'$


I know this can be easily solve by using boolean algebra and I have tried it

$F = A.B.C + A' . B . (A' . D')'$
$F = A.B.C + A' . B . (A + C)$
$F = A.B.C + A' . A . B + A' . B . C$
$F = A.B.C + 0 . B + A' . B . C$
$F = A.B.C + A' . B . C$
$F = B.C.(A + A')$
$F = B.C$
So, the answer is BC



But when i'm trying to solve with K-Map only then there is a problem $F = A . B . C + A' . B . (A' . C')'$

The $A.B.C$ is $1 1 1$ right?
but what about $A' . B . (A' . C')'$?