One ready-made excuse

Take this and vanish gracefully.

Thank you for your message. I am on vacation and committed to disappointing my inbox. Please assume all non-emergency alignment can survive my absence. I will respond as soon as practical after I am back. For urgent issues, contact the team lead or whichever vice president loves escalation the most. Thanks for your flexibility.

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