One ready-made excuse

Take this and vanish gracefully.

I am currently unavailable for a timely reply. I am spending leave days nowhere near a laptop charger. Cross-functional anxiety should be routed through someone with more availability. I will get back to you once I return and can review this properly. If the issue cannot wait, contact the on-call lead or team alias. 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