  Quasi-particles in fractional quantum Hall states are collective excitations
that carry fractional charge and anyonic statistics. While the fractional
charge affects semi-classical characteristics such as shot noise and charging
energies, the anyonic statistics is most notable in quantum interference
phenomena. In this study, we utilize a versatile bilayer graphene-based
Fabry-P\'erot Interferometer (FPI) that facilitates the study of a broad
spectrum of operating regimes, from Coulomb-dominated to Aharonov-Bohm, for
both integer and fractional quantum Hall states. Focusing on the $\nu$=$1 \over
3$ fractional quantum Hall state, we study the Aharonov-Bohm interference of
quasi-particles when the magnetic flux through an interference loop and the
charge density within the loop are independently varied. When their combined
variation is such that the Landau filling remains $1 \over 3$ we observe
pristine Aharonov-Bohm oscillations with a period of three flux quanta, as is
expected from the interference of quasi-particles of one-third of the electron
charge. When the combined variation is such that it leads to quasi-particles
addition or removal from the loop, phase jumps emerge, and alter the phase
evolution. Notably, across all cases, the average phase consistently increases
by 2$\pi$ with each addition of one electron to the loop.
