One ready-made excuse

Take this and vanish gracefully.

Thank you for your message. I am on a break and treating my email like a distant rumor. Budget drama, calendar gymnastics, and status updates may proceed without me. Responses will resume after my return. For urgent issues, contact the team lead or whichever vice president loves escalation the most. 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