Where should a drink go on an L-shaped sectional?
Plan around the corner, chaise and shared seats.

The corner seat
Check whether reaching to the coffee table requires leaning across another person. A suitable adjacent table may work better.
The chaise
Keep drinks outside leg movement and blanket folds. A soft chaise cushion is not automatically a supported resting surface.
The outer seat
A broad side table can offer a separate surface within reach. Check its height while seated.