= Solution
Starting with an <Neutral antikaon>[antikaon] instead gives
$$
\bar{\mathcal A}_f(t)=\bar A_f g_++\frac pq A_f g_-=\bar A_f[g_++\lambda^{-1}g_-].
$$
Thus
$$
\boxed{\Gamma(\bar K(t)\to f)=|\bar A_f|^2\left[|g_+|^2+|\lambda^{-1}|^2|g_-|^2+2\operatorname{Re}(\lambda^{-1}g_-g_+^*)\right].}
$$
This factored form assumes $A_f,\bar A_f\ne0$; otherwise use the preceding <probability amplitude>. The three mechanisms are separated below. Comparisons for distinct final states must pair $f$ with its <CP> conjugate $\bar f$.
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