= Solution
The initial slope near one is the short-observation regime $\mathcal T(T)\sim T/2$. Successively longer observations include trajectories that enter progressively longer-lived traps before reaching the absorbing minimum. \b[The four marked shoulders represent successive relaxation timescales], not four distinct equilibrium phases. A plateau appears when the contributing faster modes have largely completed but the next slow component has not yet substantially changed the conditional mean. The ultimate plateau is the true <mean first-passage time>, approximately $e^{32.3}$ in the plotted time units.
To estimate a rate, locate the rounding timescale at which that mode stops growing with the observation window, using $\nu_lT\sim1$; the final completion of a crossover requires several lifetimes. Graphical transitions lie approximately around $\ln T\sim8$, 23, 29 and 35, giving only order-of-magnitude estimates
$$
\boxed{\nu_l\sim e^{-8},\ e^{-23},\ e^{-29},\ e^{-35}\ \text{in inverse plot-time units}.}
$$
These are roughly $3\times10^{-4}$, $10^{-10}$, $3\times10^{-13}$ and $6\times10^{-16}$, with factors of several uncertainty from reading broad crossovers. Plateau heights are weighted sums $\sum A_l/\nu_l$ divided by completed probability, \b[not individually $1/\nu_l$]; in particular the final plateau at $\ln\mathcal T\simeq32.3$ does not require the slowest lifetime to be $e^{32.3}$. The table fixes barriers and basin connectivity, but supplies no temperature or attempt-frequency convention that would justify exact rates directly from the energies.
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