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If both you and your daughter have been tested by blood test
( Cbc smear for MP or malarial antigen ) then it's a confirmed diagnosis . The treatment you have mentioned seems appropriate .
Loose motions might need additional supportive therapy like probiotic
and zinc supplements and oral rehydration solution.
Yes , malaria is a curable infection and even if severe, with good care and sometimes hospitalization ( if critical) you can expect a cure within a couple of weeks . For complete eradication the course of antimalarials should be completed as per prescription .
Wishing you both a speedy recovery.