To prevent the princess's status from being neglected.
She deliberately invoked the name of the Lothern Royal Court.
This was both an exhibition of utmost sincerity and respect, as well as a silent declaration to the other party: the one about to converse with you is not a princess seeking private assistance, but rather... a kingdom entity with supreme authority and vast resources! This alone is enough to make even the proudest Dragon Lord... lower their posture slightly and seriously weigh the astonishing value behind the proposal.
Of course, they might harbor doubts.
But at the very least, it could earn her a chance for dialogue.
"Alright! Leave it to me!"
Upon hearing this, Iron Dragon Gordon immediately lifted his dragon head and promised boldly:
