Non-regular Lagrangian concordances between Lagrangian fillable Legendrian knots

In this short note, we construct a family of non-regular, and therefore non-decomposable, Lagrangian concordances between Lagrangian fillable Legendrian knots in the standard contact 3-dimensional sphere. More precisely, for every decomposable Lagrangian concordance from ${\mathrm{\Lambda }}_{-}$ to ${\mathrm{\Lambda }}_{+}$, where ${\mathrm{\Lambda }}_{\pm }$ are smoothly non-isotopic Legendrian knots, we construct a non-regular Lagrangian concordance from ${\mathrm{\Lambda }}_{+}^{\mathrm{\prime }}$ to ${\mathrm{\Lambda }}_{-}^{\mathrm{\prime }}$, where both ${\mathrm{\Lambda }}_{\pm }^{\mathrm{\prime }}$ are Lagrangian fillable Legendrian knots obtained from ${\mathrm{\Lambda }}_{\pm }$ by sufficiently many positive and negative stabilisations, followed by a sequence of Legendrian satellite operations.