Assymetry's ill-defined absolute infinity OCF

Some assumptions first. We assume that there is some way to Generate numbers such as $\Omega_1,\Omega_2,\Omega_{\omega}$and so on where $\Omega_0$ is absolute infinity. It is also very, very illdefined.

Next, we define $\psi_{P}(0)=\Omega_{\Omega_{\Omega_{._{._.}}}}$, $\psi_P(1)=\Omega_{\Omega_{._{._{._{\psi_P(0)+1}}}}}, \psi_P(2)=\Omega_{\Omega_{._{._{._{\psi_P(1)+1}}}}}$, and so on.

$\psi_P(P)=\psi_P(\psi_P(\psi_P(...)))$.

So what is P? well it is not really defined as its only purpose is to enumerate absolute infinity fixed points, but for now, we can call it a "Placeholder Cardinal".

We can have ordinals such as $\psi_P(I_{P+1}), \psi_P(M-I(1,P)),\psi_P(\Omega_{\Omega_{\psi_P}}), \psi_P(\psi_{P_2}(0)), \psi_P(P_P), \psi_P(P-I(1,0))...$ and so on, creating bigger and bigger ordinals. Currently, I place Mathis's absility as$\psi_P(I_{P+1}^3)$.