Worth adding the measurement question, because otherwise you are working blind on this.
You can already see some of it. Assistant and agent traffic arrives with recognisable user agents and, increasingly, from identifiable address ranges. Segment your logs by that and you will have a number for how much of this is reaching you today.
For most small shops that number is currently small. It is also the number that tells you when to care, and watching it costs an hour of log work rather than a subscription.
Also worth checking whether referrals from assistant products appear in your analytics at all — attribution here is genuinely poor, and a share of what looks like direct traffic is somebody acting on an assistant's recommendation.