I understand

It bothers her that Kazuya is listening to her sister and believing her words so much. But, it's most likely because he confirmed it with his own eyes. Lyn took a deep breath before she closed the distance between her and Kazuya again, "What will it take for you to listen to me?"

.....

- Allen's Mansion, Surri Town -

Lyn had a feeling he would do this.

It was clear that the lack of equipment was not an issue. But even then Lyn genuinely thought that Kazuya would at least let her stay.