  We construct a lift of the $p$-complete sphere to the universal height $1$
higher semiadditive stable $\infty$-category tsade-$1$ of
Carmeli--Schlank--Yanovski, providing a counterexample, at height $1$, to their
conjecture that the natural functor from tsade-$n$ to $\mathrm{Sp}_{T(n)}$ is
an equivalence. We then record some consequences of the construction, including
an observation of T. Schlank that this gives a conceptual proof of a classical
theorem of Lee on the stable cohomotopy of Eilenberg--MacLane spaces.
