  We prove a geometric criterion for the bounded multiplicity property of
"small" infinite-dimensional representations of real reductive Lie groupsin
both induction and restrictions.
  Applying the criterion to symmetric pairs, we give a full description of the
triples $H \subset G \supset G'$ such that any irreducible admissible
representations of $G$ with $H$-distinguished vectors have the bounded
multiplicity property when restricted to the subgroup $G'$.
  This article also completes the proof of the general results announced in the
previous paper [Adv. Math. 2021, Section 7].
