The paint is a water base paint.
water base paint isn't water soluble once cured (fully dry)
There's no
fast 'n easy way to remove it without risk of delaminating carpet
if cut pile carpet,
small drips on
top can easily be snipped off top with napping shears .
since you said it's in an "office", I'll presume it's loop pile ..can't be cutting on that
you'll be "safest" with one of the strong DE-limonene gels like CTI's ProSolve (if they're still around)
apply it, long dwell time, gentle scrapping, flush-rinse, re-apply, repeat as needed
have you looked at it yet?
if not, you better
and you need to explain the difficulty/time involved and potential hazards of removing cured latex paint.
'cause people are ignorant in general, and think because it's "water based" it will clean up with water ...it won't when fully dry (cured)
it's a time consuming PITA...charge accordingly or walk
..L.T.A.