Weak Goldbach for prime $p$: singleton prime multiset

Every prime $p$ is the sum of at most three primes: the singleton multiset $\{p\}$ has cardinality $1 \le 3$, its only member $p$ is prime by hypothesis, and its sum is $p$. This generalizes the small cases $n = 3$ and $n = 5$ of the weak Goldbach mission.