Option A — Apple Screen Time
No download, no subscription. Apple's own App Limits can block NYT Games specifically, and Downtime can switch it off by time of day.
- Turn Screen Time on. Open Settings → Screen Time. First time? Tap Turn On Screen Time, choose "This is My iPhone", and set a Screen Time passcode — pick four digits you won't type on reflex at 11pm.
- Add an App Limit. Still in Screen Time, tap App Limits → Add Limit.
- Select NYT Games. Apple sorts your apps into broad buckets and NYT Games sits with the Games apps. Tap the arrow beside Games to expand it and tick NYT Games only — or just type "NYT Games" into the search field at the top, which is faster. Tap Next.
- Set the allowance. Choose how long NYT Games gets each day. 30 minutes is a soft cap; 1 minute is effectively off. Tap Customize Days if weekends should be different, then tap Add.
- Turn on Block at End of Limit. Reopen the limit you just made and switch on Block at End of Limit. Without it, the "Ignore Limit" button hands the whole evening straight back to NYT Games.
- Add Downtime for a time-of-day block. A daily budget isn't the same as "off after 10pm". For that, go back to Screen Time → Downtime → Scheduled and set the window (10pm–7am is the classic), then check that NYT Games is not listed under Always Allowed. During Downtime it's blocked outright — there's no allowance left to burn.
The honest catch: it works, but it's four screens deep in Settings, the limit resets its own way, and if you know the passcode you can undo it in about six seconds. That's why so many people set an App Limit once and never think about it again.