first of all, the problem may be that you are restricted in a different way (other than quota), but Google usually sends you an e-mail informing you in this case.

Qutoa sometimes does not update instantly, so you may need to wait a while to see the real usage.

Also, while the 10,000 quota uses a 1 point fee in each part of the youtube v3 api.

It uses a 100 point fee in the /search part. For this reason, this quota is usually not enough for you.

Instead, I recommend you to use APIs such as rapidAPI or zylalabs, which offer higher limits for "youtube v3" but are paid. Example:

"Youtube v3":

https://rapidapi.com/boztek-technology-boztek-technology-default/api/youtube-v317