Clark maintains a household for himself and his two dependent preschool children $($both under age $6)$ and files as head of household. For the year ended December $31,2022,$ Clark earned a salary of $$62,000.$ He paid $$5,600$ to a housekeeper to care for his children in his home and also paid $$2,500$ to a kiddie play camp for child care. He had no other income or expenses during $2022.$ His tax liability before any credits is $$4,923.$ How much can Clark claim as a child and dependent care credit and child tax credit in $2022?$