Not a native English speaker here, but in many languages, “looking for” and “looking at” would require different words for translation. “Looking for” implies, “searching”, “looking at” - viewing, seeing, regarding. French “chercher” and “regarder” would be good examples. In fact, there is something opposite in the meanings, as “look for” implies not seeing it yet, “looking at” means, it is in front of you. (The only similarity being, in both cases you might be seeing it, but either not registering, or not realizing what you are seeing). However, one needs to hear how LL speaks. Some people tend to drop sentences mid-way, out of tiredness, distraction, or preoccupation with something else.