Enhancement uniqueness conjecture for bounded complicial triangulated categories

Let $\mathrm{T}$ be a small triangulated category with a bounded $t$-structure that is $n$-complicial for some $n$.

Enhancement uniqueness conjecture. Then $\mathrm{T}$ admits a unique $\infty$-categorical enhancement.

The source's displayed statement contains the malformed phrase “a unique $\infty$-categorical which is unique”; the intended claim is clear from the surrounding discussion, which contrasts the conjecture with known examples having multiple enhancements. The authors explicitly do not conjecture that all such categories have unique dg enhancements.