Never say you know your issues and that you have the part to fix them too.
If you have an issue with your car, you should not end up shopping around for a mechanic who is going to repair your car using the car part that you have.
This is not going to go well in your favor since they are most likely going to refuse to help you from the get-go when they hear that you already have the part needed.
It’s going to happen because there are a lot of mechanics and shops that are going to make the most of their profit from getting the parts themselves and selling them to the customers with an added cost.
The cost of the labor is not that high, and if you already advertise your issue as already knowing what is wrong with the car and already having the part needed, some mechanics will refuse you outright since this would not be a job that would be profitable.
Some shops also end up going to the extreme and taking the job, only to say that the part you had is not good and that they have to buy a new one that works.
A good idea would be to just take the car to the garage you trust and have them diagnose the issues, then speak to them that you will bring the part that needs replacement.
That way, while they will not make money from the part, they will steal and earn something from the diagnosis and the cost of labor of firing in the piece.