It's several pages long with lots of polite diplomatese, but the gist is that they agree to have Belrun come as a hostage, and to her plan of Gating into an unspecified town but at a specified time (they propose dawn two days from now), and to all of her conditions.

Leareth's face as he reads it is both relieved and unhappy. The unhappy is even more apparent via lifebond leakage. 

"Well. Okay then." She's scared, but - well.

Leareth is scared as well. It's a somewhat unfamiliar feeling for him and he doesn't like it. He hugs Belrun tightly. 

"...I need a latitude map to calculate the difference in sunrise time between here and there," he says quietly. "It would not do to startle them into offensive action because your arrival was off by half a candlemark from expected. I think they would have some leeway there, but nonetheless."

"Yeah. I can find Fork Village on a map."

“All right.” And Leareth can dig up a map of Valdemar detailed enough to include small towns, and a less detailed map of the entire region to match it against, and do some math to get the difference.

She can actually point it out even if it's not marked because it's right at this fork in a significant road.

That makes sense given the name. Also convenient. 

Leareth can help Belrun pack, and load her up with a few verifiably-purely-defensive magic artifacts as agreed upon, which will make it a lot harder for any suspicious coincidences to actually kill her. 

"If you happen to have a Fetcher around," she says, "they can probably keep the strains in my eggs alive for later research if they just Fetch a sample from an infected egg into a fresh one every couple of weeks - and increment the number. A tiny droplet's enough, not enough to really increase egg pressure, even if they don't have Healing-Sight to aim at the microbes themselves."

Nod. "I do have Fetchers. It might be good to have you train a couple of them on the procedure, since you do not actually need to leave just yet." 

"Yeah, I can do that."

She teaches his Fetchers how to get droplets of disease directly into new eggs so they'll colonize the whole of it and the process can be duplicated when the egg isn't good any more.

They want to know what to do if an egg breaks while they're working, which shouldn't happen, obviously, but just in case. 

Try to get a droplet into a spare egg, Fetch the whole thing into boiling water, don't touch it, boil whatever it touched. Document the incident in the research notebook like so.

Got it. They can do that. 

Leareth helps Belrun pack anything else she's going to need, and the night before the planned departure he wraps his arms around her and doesn't intend to let go all night. They'll need to get up pretty early for the Gate. 

They can stay up a bit anyway. She can sleep in the wagon once she's commandeered her father.

"I love you."

"I love you too. I am going to miss you very much." This is going to be a new experience for Leareth, actually. He isn't especially looking forward to it. 

Eventually they can actually sleep some.

In the morning she collects all her belongings that are coming along, and a portable breakfast because her father's kitchen situation is invariably awful, and kisses her lifebonded goodbye.

Leareth hugs her tightly, but there isn't a lot of time to hesitate, if they're going to meet the dawn-exactly time they had agreed on. 

"I may relocate nearer to Valdemar's border," he says quietly. "Afterward, so you do not know where exactly. It might make the separation less painful if the distance is less." He doubts it's going to make the purely emotional distress any easier though. 

She nods.

She steps through the Gate into the room that used to be her nursery, when she was a baby, that she stayed in last time she visited.

When the threshold stops glowing she goes out, wipes her eyes on her sleeve, and wakes her father.

That afternoon sees her sitting in a wagon being driven into Haven, a Guard in uniform steering up front and casting frequent glances at her where she's curled up on the sack of hay that serves as a seat.

She's expected, and the wagon is stopped at the outer walls. A woman in Heralds' Whites arrives a couple of minutes later. "Herald-Mage Sandra. I have to check that your protective artifacts actually are defensive-only. One moment." 

Belrun doesn't move. "Okay."

Sandra can do it at a distance without approaching, and does so. It takes a couple of minutes. "Confirmed," she says tersely. "Go ahead." She swings herself up onto her Companions' back and accompanies them ten yards back or so. 

Belrun obliges herself to sit up and look around a bit more as they go into Haven. She doesn't even flinch about the nightmare horse. "Thank you," she says after a bit of a delay.

"...You're welcome." 

Another Herald is waiting at the inner gates to the Palace itself; she's older, white-haired and her face weathered. "Herald-Mage Savil, pleased to meet you," she says politely. "This is Herald Tantras, acting King's Own."