Central idempotents of the bifree and left-free double Burnside ring

We determine the blocks, i.e., the primitive central idempotents, of the bifree double Burnside ring $B^{\mathrm{\Delta }}(G,G)$ and the left-free double Burnside ring $B^{\text{trl}}(G,G)$, as well as the primitive central idempotents of the algebras arising from scalar extension to $\text{QQ}$.