Formula To Index And Match For Max Value Across Multiple Separated Columns

I need to Index & Match the Max Value for 3 separate columns labeled "Price". The columns are not adjacent and cannot be moved. I am able to get the Max for the 3 Price columns using:

=MAX($L$12:$L$45,$O$12:$O$45,$R$12:$R$45).

However, I need the matching value in column D labeled "Int. SF". I can only do this for one column at a time so far using this formula

=INDEX($D$12:$D$45,MATCH(MAX($L$12:$L$45),$L$12:$L$45,0)).

When I try to use all 3 columns with Index & Match

=INDEX($D$12:$D$45,MATCH(MAX($L$12:$L$45,$O$12:$O$45,$R$12:$R$45),$L$12:$L$45&$O$12:$O$45&$R$12:$R$45,0)), #VALUE! is the answer.

If I enter it as an array, the answer is #N/A. I tried making the 3 columns into a table (which I named Price1) and tried the formula again

=INDEX($D$12:$D$45,MATCH(MAX(Price1),Price1,0)),

But that did not work either.

I tried using a V-Lookup, but can only get results for the first column, not the other two. I've attached my spreadsheet.