Gruslys–Leader–Tan bounded-dimension conjecture for one-dimensional tiles

A tile is a finite non-empty subset of $\mathbb{Z}$, and a tile $T$ tiles $\mathbb{Z}^d$ if $\mathbb{Z}^d$ can be partitioned into translates, rotations, and reflections of $T$. Gruslys–Leader–Tan's conjecture. For any positive integer $t$, there exists a number $d$ such that any tile $T\subset\mathbb{Z}$ with $|T|\leq t$ tiles $\mathbb{Z}^d$. This conjecture remains unresolved and asks for a dimension bound depending only on the size bound $t$, uniformly over all one-dimensional tiles.