In that case you have the upper hand, as you don't have to deal with any insurance company. The person who damaged your bike is your mate's dad, and he is the one who is responsible to see it is fixed properly. Simply tell the bike shop to fix it. You then send the bill to your mate's dad.
In cases like this it is up to driver at fault to sort it out with his insurance company. You can claim for all sorts of things including damage to gear, additional transportation costs etc. Who pays at the end is not your problem, that's between the driver at fault and his insurance company. You may need to pay initially, but you can recover all costs.
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