exaggerate
This further investigation could over-egg issues and cause discontent in the industry.
Despite the castle's Dracula links, tour guides don't over-egg the fictional character's presence.
Let your staff know you're with them, but don't over-egg the sentiment.

SMART Vocabulary: related words and phrases

Exaggerating & playing down
bloviate
blow something out of proportionidiom
cartoonish
cartoonishly
catastrophize
fulsome
go overboardidiom
inflated
make a mountain out of a molehillidiom
make little of somethingidiom
make much of somethingidiom
make something of something/someone
meal
mildly
minimization
OTT
protest too muchidiom
romanticize
underplay
underrate

Idiom