Adding the constant evasion and constant prediction numbers to Cichoń's maximum

Let ${\mathfrak{e}}_2^{\mathsf{c}\mathsf{o}\mathsf{n}\mathsf{s}\mathsf{t}}$ be the constant evasion number, that is, the size of the least family $F\subseteq {}^{\omega }2$ of reals such that for each predictor $\pi \text{\hspace{0.17em}⁣}:{}^{<\omega }2\to 2$ there is $x\in F$ which is not constantly predicted by $\pi$; and let ${\mathfrak{v}}_2^{\mathsf{c}\mathsf{o}\mathsf{n}\mathsf{s}\mathsf{t}}$ be the constant prediction number, that is, the size of the least family ${\mathrm{\Pi }}_2$ of functions $\pi \text{\hspace{0.17em}⁣}:{}^{<\omega }2\to 2$ such that for each $x\in {}^{\omega }2$ there is $\pi \in {\mathrm{\Pi }}_2$ that predicts constantly $x$. In this work, we show that the constant evasion number ${\mathfrak{e}}_2^{\mathrm{c}\mathrm{o}\mathrm{n}\mathrm{s}}$ and the constant prediction number ${\mathfrak{v}}_2^{\mathsf{c}\mathsf{o}\mathsf{n}\mathsf{s}\mathsf{t}}$ can be added to Cichoń’s maximum with distinct values.