One ready-made excuse

Take this and vanish gracefully.

I am away from my desk and my inbox. I am on vacation and committed to disappointing my inbox. Budget drama, calendar gymnastics, and status updates may proceed without me. I will respond as soon as practical after I am back. Urgent requests should go to the project owner or the nearest functional adult. Thank you for your consideration.

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