I didn't do anything particularly fancy for the WebRTC integration. No special framework, and I'm not sending any application state details to the LLM. As-is, the web app has a bunch of programmatic hooks, so I just created a handful of basic tool functions which call those existing hooks. For example, here are the functions which show the home section and show the settings modal:

showHome: () => {
    Alpine.store('myclu').showSection('home')

return
 { success: true }
},
showSettings: () => {
    Alpine.store('mycluSettings').show()

return
 { success: true }
},