Exercise $17-13($Algo$)$ Determining the amortization of net loss or net gain $[$LO$17-6]$

Hicks Cable Company has a defined benefit pension plan. Three alternative possibilities for pension$-$related data at January $1,2024,$ are shown below:

$\backslash$table$[[,($$ in thousands$)],[,$Case $1,$Case $2,$Case $3],[$Net loss $($gain$)-$AOCI, January $1,$$$328,$$ $(350),278],[2024$ loss $($gain$)$ on plan assets,$(19),(16),8],[2024$ loss $($gain$)$ on PBO,$(31),,(290)],[$Accumulated benefit obligation, January $1,(3,030),(2,630),(1,530)$