Unthreadability with Small Conditions

We introduce a forcing that adds a $\mathrm{\square }({\mathrm{\aleph }}_2,{\mathrm{\aleph }}_0)$-sequence with countable conditions under CH. Assuming the consistency of a weakly compact cardinal, we can find a forcing extension by our new poset in which both $\mathrm{\square }({\mathrm{\aleph }}_2,<\text{\hspace{0.17em}⁣}{\mathrm{\aleph }}_0)$ and ${\mathrm{\square }}_{{\mathrm{\aleph }}_1,{\mathrm{\aleph }}_0}$ fail in the forcing extension.