  We consider two extensions of the so-called DGKT solution, a 4d
scale-separated anti-de Sitter (AdS) solution obtained as a compactification on
a 6d torus orbifold. Each extension consists in a specific large $n$ expansion
beyond the DGKT solution, where $n$ is the unbounded $F_4$-flux parameter. One
of the extensions considered generalizes the known warped, partially
backreacted solution. We analyse the two extensions in 10d massive type IIA
supergravity as well as in a 4d effective theory, using a general warped
compactification formalism, including axions. On top of known corrections to
DGKT, we mainly get new ones from $F_4$; other fluxes are very constrained by
flux quantization. In each extension, one would expect corresponding
corrections to the mass spectrum, before reaching contributions from
$\alpha'$-corrections. But the mass spectrum turns out to be robust, and
conformal dimensions remain unchanged.
