Technically speaking Naomi isn’t lying, Mium sent Ila, not Naomi. Mium might have done it for Naomi’s sake.

Cutting off the speech bubble in the last panel was an intentional stylistic choice to give the panel more depth, and make the words the less important part of the panel. The associate she is referring in this case is Peter, not Mium. She refers to Mium as her friend… sometimes she refers to Peter as her friend, but their relationship is a bit more complicated, and I suspect in sum total she’s a bit frustrated with him today in general.