If they didn't want the bell to be ding-donged then they shouldn't have had one! There was no argument from Loki however, because he could respect Elsa's carefulness about her job and it's security. She knew he was just being his usual self and wasn't exhibiting any anxiety over it--which was a wonderful sign.
"But of course." He gave a firm nod, resting his chin into the palm of his hand while he waited patiently for Elsa to tell the Wrathful Librarian, eyes making their way around the library and back a few times to take in the others and their activities. Believe it or not Loki spent a lot of time in the archives of Asgard both in the youth of this life and the previous, learning and relearning ancient scrolls, languages, and the secrets of the arcane.
Never in a modern library. He wasn't one for fiction or the scripts of Midgard and everything was on the internet now, but he wouldn't be surprised if he ended up here sooner or later for more research on this realm. Not just for Elsa. Probably.
When she returned he led the way to the exit, holding the door open for her of course before stepping out into the square at her side, bag of goods swinging at his. There were a number of benches but Loki would let Elsa pick where she wanted to eat. "You seem comfortably nestled into the bosom of your new job--despite potential vengeful bosses, no complaints?"