To overlook or observe closely
I think you mean scrutiny. If so, it means to evalute or examine or watch carefully.
the spanish word mira means to look at or watch
A word that means to read very carefully is peruse.
Watch that toddler very carefully.
duly
precise
Watch carefully how the magician will misdirect the attention of the audience.
to think over carefully
Okay, well it means to look into something or to figure it out. Watch over it repeatedly.
Peruse
The word gingerly means to do something cautiously or carefully, as if trying to avoid causing damage or disruption. It is often used to describe handling delicate objects or navigating tricky situations with care.