macbook pro 15" 2016 right speaker is broken

Did you purchase your MacBook Pro new directly from Apple? Did you get the extended AppleCare+ coverage? If so, your notebook should be repaired by Apple for little or no cost to you.

Ref:

• Check Your Service and Support Coverage - Apple Support
• AppleCare+ for Mac - Apple Support

Is this "apple shop" an Apple Store or an Apple Authorized Service Provider?

Ref: Apple Authorized Service Provider Program - Apple Support

Not really as disassembly/reassembly of this MacBook Pro model, just to get to the fan, is labor intensive.

To get an idea for yourself, take a look at this iFixIt repair guide:

Do you have an actual question about how to get this speaker repaired, either by Apple or by yourself or are you just making a statement?