Responsible Landlord is Delaying Vehicle Repair

[Dan Garrigus]

I have a family member who was pulling into their apartment complex in San Diego, CA which has a sensors to notify the swinging gate to open and when it is safe to close, which malfunctioned. As they were driving through, the gate all of sudden began to shut and hit their car denting and scratching up the front end. This happened just over 1 month ago and they are still waiting to get a response from the apartment complex's insurance company. The insurance company is stating they have reached out to the responsible party, the gate servicing company via tender letter and are awaiting their response. 

So, the question for the Tenant/Landlord Attorney's is:

Since this incident had occurred over a month ago, with no resolve. Can they skip next months rent and a portion of the following months rent to cover for the cost of the repairs if they decide to stop waiting and get it repaired? The initial quote has since expired as it was only good for 30 days. If not, what avenues do they have to resolve the issue as quickly as possible?

Thank you for your insight and have a great day!