It's a particle that propagates like a wave. Wave is the way it propagates not what it is.

A wave on the sea is made of particles of water propagating in form of a wave. "Wave" is just the pattern of how it propagates.

Same with light.

This is a taboo in physics because it would cancel Einstein's Nobel.

"Particle" is the smallest part of something that can be divided in parts.

Light can be divided in photons, a particle.