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the warning lights you have are related to the abs/traction control system of the car.
the most common cause of these lights is a failed wheel speed sensor, a failed steering angle sensor, or a failure of the abs computer module itself.
it is possible a wheel speed sensor could have been damaged when the tyre was changed, or, if this new tyre has a different diameter than the other three, it can also cause the system to go haywire.
this has nothing to do with the regular braking, only the electronic brake assistance systems. If you need them, they will not be available to intervene until the issue is resolved.
the only way to 100% verify the underlying cause is to have the faults read out from the car, there is no other way short of guessing and replacing parts blindly, to verify the cause. A fault read out is your next/only step at this time.
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