The threshold before it starts failing seems to be about 4 hours.
I'm calling it without going through the settings, just reloading the old page in the browser or calling via curl:
$ wget -O /dev/null --tries=1 --server-response --header $cookie https://kagi.com/settings/consumption
--2025-10-24 08:04:42-- https://kagi.com/settings/consumption
Resolving kagi.com... 2600:1901:0:daa1::, 34.111.242.115
Connecting to kagi.com|2600:1901:0:daa1::|:443... connected.
HTTP request sent, awaiting response...
HTTP/1.1 504 Gateway Timeout
Content-Length: 14
content-type: text/plain
via: 1.1 google
date: Fri, 24 Oct 2025 01:04:51 GMT
X-Frame-Options: SAMEORIGIN
Strict-Transport-Security: max-age=31536000; includeSubDomains; preload
Alt-Svc: h3=":443"; ma=2592000,h3-29=":443"; ma=2592000
Giving up.