Debug failures for check_live job

[rachelwhitton]

i've gotten 80+ of these emails in the last 5 days

❌ ERROR: Cache-bypassing request (Warmth Check) was too slow!

https://github.com/pantheon-systems/documentation/actions/runs/21152545216/job/60831289812
https://github.com/pantheon-systems/documentation/actions/runs/21152745911/job/60831889370
https://github.com/pantheon-systems/documentation/actions/runs/21154915980/job/60837862588
https://github.com/pantheon-systems/documentation/actions/runs/21163399703/job/60862463991
https://github.com/pantheon-systems/documentation/actions/runs/21169794687/job/60883426927
https://github.com/pantheon-systems/documentation/actions/runs/21177269451/job/60909430862
https://github.com/pantheon-systems/documentation/actions/runs/21175322199/job/60902479269