You already require the Client instance to be passed to the VibeSync constructor. Why not use it to make the requests and benefit from the discord.js rate limit handler through Client#rest?
client.rest.put(`/channels/${channelId}/voice-status`, {body: {status}})
I'm generally not a fan of these single-purpose packages that offer undocumented and unstable functionality, but if you do, please don't create more footguns for developers (and yourself) than necessary.