How to collect all the output by key?

Question

Google

Good afternoon, I have such a task: to collect ID video by key.
And there is a problem: for example, I collect Far Cry by key and it collects fewer IDs than a less popular game.
I found a service that also works through the YouTube API and it collected 6K videos for the request 'Far Cry', and it only collects 400+ id's for me.
And for some reason, I always get 8-10 pages (pageToken) and everything, then it's empty, I tested it in https://developers.google.com/apis-explorer/
What am I doing wrong and what should I add?