Photons are generated in the star’s core but the core is dense. The photons move around the core, bouncing off other particles, a random walk. It takes a vast amount of time for that photon to escape the sun and reach the Earth, as per monte-carlo simulations of this random walk.

However, as the photon collides with other particles during its random walk, some of its energy is transmitted to those other particles. Sometimes a collision transfers energy to it too.

In a simple model, the energy that originally belonged to the photon gets transmitted from particle to particle through convection, and can escape the star through radiation long before the original photon reaches the surface. I don’t think that model is supposed to be physically accurate, rather to be an illustration about the convention process inside a star.