  We prove that there are at least as many exact embedded Lagrangian fillings
as seeds for Legendrian links of affine type $\tilde{\mathsf{D}}
\tilde{\mathsf{E}}$. We also provide as many Lagrangian fillings with certain
symmetries as seeds of type $\tilde{\mathsf{B}}_n$, $\tilde{\mathsf{F}}_4$,
$\tilde{\mathsf{G}}_2$, and $\mathsf{E}_6^{(2)}$. These families are the first
known Legendrian links with infinitely many fillings that exhaust all seeds in
the corresponding cluster structures. Furthermore, we show that Legendrian
realization of Coxeter mutation of type $\tilde{\mathsf{D}}$ corresponds to the
Legendrian loop considered by Casals and Ng.
