The clinical triad in this case -- loss of lateral forearm sensation, weak elbow flexion, and weak supination -- points to injury of the $\text{Musculocutaneous nerve}$ (roots $C_5$--$C_7$).
Anatomy of the Musculocutaneous nerve:
- Arises from the lateral cord of the brachial plexus
- Motor: coracobrachialis, biceps brachii, brachialis
- Sensory: continues as the lateral cutaneous nerve of forearm, supplying the lateral aspect of the forearm
Functional correlation:
- Biceps brachii = primary supinator + elbow flexor
- Brachialis = elbow flexor
- Lateral cutaneous nerve of forearm = lateral forearm sensation
Why not others?
- Median nerve injury: loss of thumb opposition, pronation, wrist flexion; no lateral forearm numbness
- Axillary nerve: deltoid weakness, lateral arm numbness
- Radial nerve: wrist drop, finger drop
\[\boxed{\text{Musculocutaneous nerve}}\]