You could begin with seeing whether the load regulation
as-seen, is as-spec'd. If not then I'd start with ground
integrity (you do not say about "driver" current or how
it is returned).
LDOs often have a minimum current especially if simple
PMOS outputs; leakage current needs somewhere to
go if the error amp is to have authority.
3.40V is about 2% error, not terrible. The 2.90V, either
you are overcurrent on the output or the "driver" is
pushing local reference ground voltage up by a couple
tens of mV, and dropping the setpoint.
Datasheet schematics are fine as a start, but often
the layout art is not communicated in that material.