If the above compound is treated with Birch reagent and Lindlar’s reagent separately then, which statement is correct about the above reaction?

Both reagents convert (C≡C)  to (C=C). Lindlar-catalyst adds by syn-addition and give active product, while birch reduction adds by anti-addition, the existing bond is also trans, hence the final product from birch is trans-trans, optically inactive product obtained.