One ready-made excuse

Take this and vanish gracefully.

Thank you for your message. I am using paid time off to stare at scenery and ignore notifications. If this relates to approvals, deck revisions, or stakeholder choreography, it will wait. I expect to reply once I return and have worked through the queue. For urgent issues, contact the team lead or whichever vice president loves escalation the most. Thank you for understanding.

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