Vanyel does think about the Gate question over the next few days – it's probably a good idea but it doesn't seem urgent, there are a lot of other reasons he doesn't feel ready to go on circuit yet including the fact that he still can't reliably fall asleep without Bella's help, and it does seem likely to be stressful and a lot of work.
He does talk to Savil about changing up his routine work (she's surprised he didn't ask sooner), and coaxes himself to be more inventive with it, and spends less time unproductively distracted. It helps that as more time passes without any suspicious potential god schemes against Bella, much less a competently-executed one, the situation is feeling less imminently terrifying.
The ice dream still hasn't happened again since their last earcuff conversation with Leareth.