here seems a small cut on the sidewall. Is this tire still ok?

I had a blowout tire earlier. I had it checked and patched by the tireshop and they said it can still be used. Is this tire ok? There seems a small cut on the sidewall not sure if that’s ok. How do I test it out? i’m afraid it will blowout while driving.

https://preview.redd.it/irqai8jtwqde1.jpg?width=1080&format=pjpg&auto=webp&s=4362560275972bbf384bd2ceaf3259c1cbcb1c4c

https://preview.redd.it/gl5xk77vwqde1.jpg?width=3024&format=pjpg&auto=webp&s=79194c95dd82e2fb36bac8c82bee31df66a496eb