It appears you're curious if the products you use as a hairdresser will cause damage to an Apple Watch Series 3. I'll be happy to help provide guidance on this topic.
Please take a look at the following resource:
Cleaning your Apple Watch
Specifically, this section may help address your concerns:
Keep your Apple Watch clean and dry. Soaps, cleaning products, abrasive materials, compressed air, ultrasonic cleaning, and external heat sources can cause damage and shouldn't be used with your Apple Watch.