Further refining swampland dS conjecture in mimetic f(G) gravity

Mimetic gravity analysis has been studied as a theory in various types of general relativity extensions, such mimetic f(R) gravity, f(R, T) G) etc., the literature. This paper presents set equations arising from conditions and studies cosmic inflation with combination f(G) swampland dS conjectures. We analyze evaluate these results. Therefore, we first thoroughly introduce calculate some cosmological parameters scalar spectral index, tensor-to-scalar ratio, slow-roll parameters. Also, investigate potential according to gravity. Then will challenge conjectures this condition. By expressing coefficient viz $C_{1}$ $C_2$ terms $n_{s}$ $r$, plot figures determine allowable range for each coefficients, finally, compare results observable data Planck BICEP2/Keck array data. show are not $\mathcal{O}(1)$, so refining conjecture is satisfied inflationary model. examine it further conjecture, which series free $a,b>0$, $q>2$, $a+b=1$. adjusting parameters, compatibility mentioned model can be discussed. satisfied. when $a < \frac{1}{1.00489}=0.99513$, always find $a$, $b$ $q$ whose value larger than 2, $q=2.4$, $0.99185\leq 1$, choose $a=0.99235$ condition 0.99513$. Also know $b=1-a$, have $1-0.99235=0.00765 > 0$.