If the system of linear equations \( x-2 y+z=-4 \) \( 2 x+\alpha y+3 z=5 \) \( 3 x-y+\beta z=3\) has infinitely many sol…

If the system of linear equations
\( x-2 y+z=-4 \)
\( 2 x+\alpha y+3 z=5 \)
\( 3 x-y+\beta z=3\)
has infinitely many solutions, then \(12 \alpha+13 \beta\) is equal to

[JEE Main 2024, 31 Jan (Shift 1)]