One ready-made excuse

Take this and vanish gracefully.

I am away and operating on a delayed-response model. I am on vacation and committed to disappointing my inbox. Cross-functional anxiety should be routed through someone with more availability. I will respond as soon as practical after I am back. Immediate concerns can be routed to the department lead. Thank you for accommodating the delay.

Professionally ignoring you with the help of Half Baked Out of Office
https://ooo.halfbakedidea.ca?ref=copy

Tweak it, steal it, disappear for a while. Leave the breadcrumb if it feels charming.

Keep the same energy

More in this vein

If this one isn't quite it

Other ways to duck out

Pick one for me