struggle, fight, compete, contend
鬦 centers on direct conflict: struggling, fighting, competing, or contending against an opponent.
鬦 combines 鬥 (fighting, conflict) with 斗, which likely contributes a phonetic element. The character is a variant of 鬪/闘, all built around the idea of two opponents in a struggle.
The outer enclosure 鬥 looks like two figures locked in combat. Inside, 斗 resembles a measuring cup, but here imagine it as a trophy they are fighting over.
For トウ, picture the fighters' toes (トウ) gripping the ground as they struggle: toe -> トウ, and the battle inside 鬦 is intense.