You will need a helper column with this formula:
=24*(SUMPRODUCT((TEXT(ROW(INDEX(AAA:AAA,$F$1):INDEX(AAA:AAA,$F$2)),"dddd")=A1)*(C1-B1))-IF(TEXT($F$1,"dddd")=A1,MOD($F$1,1)-B1,0)-IF(TEXT($F$2,"dddd")=A1,C1-MOD($F$2,1),0))
Then sum that column.
Here it is in one formula using NETWORKDAYS.INTL
=IF(DATEDIF(F1,F2,"d")>1,NETWORKDAYS.INTL(F1+1,F2-1,"0000011")*12+NETWORKDAYS.INTL(F1+1,F2-1,"1111101")*4,0)+IF(DATEDIF(F1,F2,"d")>0,(MOD(F2,1)-IF(WEEKDAY(F2,2)<6,TIME(7,0,0),TIME(9,0,0)))*24+(IF(WEEKDAY(F1,2)<6,TIME(19,0,0),TIME(13,0,0))-MOD(F1,1))*24,(F2-F1)*24)
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