overexaggerate
They say it's a massive over-exaggeration to say that hospitals are struggling to cope with the number of cases of the disease.
He is not usually prone to over-exaggeration, but he claimed it was the most delicious meal he had ever eaten.
That's a huge over-exaggeration!

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