Earth isn't on the priority list for message-Gates to get faster updates, unless Leareth needs intel from Mhalir, which is less and less often nowadays when they've captured so many other planets. They tend to find out the result of battles weeks or months after the fact.
Vanyel worries, in between mage-work and doing flashy demonstrations to impress the humans, and incidentally the Andalites. They're still not really allowing visitors in Velgarth except for a few Andalite researchers who've been to Leareth's underground facilities in the far north, but Vanyel can show off and give a sense of Velgarth's capabilities that isn't wrong, exactly, just - filtered.
On Melody's prodding, he sees various Earth specialists about his weird Gate problem. They're so curious and baffled about it! His last appointment was with some famous world-renowned neurologist - a type of Earth doctor specializing in brains, which very confusingly isn't the same thing as a psychiatrist, this seems dumb - who was so thrilled to have a few days of Melody's time and Sight for his research. Which kind of feels like bribery, but he'll take it. They're reviewing scans now, trying to figure out if it's more the kind of problem appropriate for a psychiatrist or a neurologist. The entire process is kind of humiliating but Melody's not wrong that it would be really good if he could do Gates. Also she was right the last time she arm-twisted him into something; Earth does in fact have drugs that make him so much less sad.
They get the news that the Andalites are pausing conquests of the remaining scattered Yeerk bases and instead blockading them and demanding surrender. A few days after that they hear about the nearly-disastrous battle on Leera. There are requests for volunteers on Matirin's staff, any Yeerks with voluntary Controllers who are willing to take the risk of flying an unarmed shuttle into a Yeerk-defended zone and trying to convince them that the Andalites really aren't slaughtering the entire species at all. There are, unsurprisingly, some volunteers.
It's some solace that Leareth and Matirin are safer, now, but he wants the war to be over. He wants Leareth to be back.
When he gets updates from Nerefir, he passes them on to Melody.