  In this paper, the information paradox on lower-dimensional Gauss-Bonnet
gravity known as a three-dimensional EGB black hole is studied using the
quantum extremal island approach. For that, we connect an auxiliary flat bath
system to this timelike singularity spacetime and estimate the entropy of
hawking radiation in its asymptotic regions when gravity is weak. The addition
of island areas to the entanglement wedge of radiation causes its entropy to
obey the Page curve, as shown. The quantum extremal surface, or island
boundary, is located outside the horizon. This yields a time-independent
equation for Hawking radiation fine-grained entropy that is compatible with the
appropriate Page curve. We also discover the modifications to this entropy and
Page time.
