  We study top-down embeddings of massive Anti-de Sitter (AdS) gravity in
type-IIB string theory. The supergravity solutions have a AdS$_4$ fiber warped
over a manifold M$_6$ whose shape resembles that of scottish bagpipes: The
`bag' is a conventional AdS$_4$-compactification manifold, while the `pipes'
are highly-curved semi-infinite Janus throats. Besides streamlining previous
discussions of the problem, our main new result is a formula for the graviton
mass which only depends on the effective gravitational coupling of the bag, and
on the D3-brane charges and dilaton jumps of the Janus throats. We compare
these embeddings to the Karch-Randall model and other bottom-up proposals for
massive-AdS-gravity, and we comment on their holographic interpretation. This
is a companion paper to [1], where some closely-related bimetric models with
pure AdS$_5\times$S$^5$ throats were analyzed.
