The Prince Beimo wanted to arrange for the Prince NanAn and his entourage to rest at the Palace, but they refused.
Zhao Xu's current identity is awkward, and them helping Zhao Xu to propose makes it even more awkward.
They came to help Zhao Xu, but it's more like helping solve the issue of Zhao Xu having beaten the Prince Beimo twice.
Once this conflict is resolved and the marriage is agreed upon, Zhao Xu's affair will be successful, and an envoy will be sent to Beimo to formally propose marriage.
They were just making the trip in advance to get Zhao Xu's reassurance.
The reassurance would be obtained when Beimo seeks an explanation from Nanliang about Prince Cheng.
Prince NanAn and his entourage did not stay at the Palace. Prince Beimo did not make things difficult for them and returned to the palace.
King Beimo and the Beimo Empress have already met Zhao Xu; if Zhao Xu were a Beimo person, they would be wholeheartedly in favor of this marriage.
