I get it and I have led large industrial maintenance businesses for decades.  I will do initial mitigation work to prevent further damage, but I call the experts. I usually have the troubleshooting and path forward worked out by the time they arrive, but I let the experts do what they do.

During Freeze-ma-gedon/The Great Texas Freeze of Feb 2021 a riser and PRV on the side of our house froze and burst. I had insulation and covers on all of the outside hose bibs. None of those froze. I had looked at insulating the elements that froze and burst but did not have the stuff I needed to do it.  We lost power for anearly two days.  I bypassed the remote control for our gas fire place which allows for the installation of a battery to power the gas valve so the fireplace can be operated when power is lost.  I also started the gas range burners to add heating capacity.  We spent daytime hours in the great room where the fireplace and kitchen were located and slept in our BR though we left the fireplace burning all day and night to keep the plumbing thawed and so we would not freeze.

Mitigating further damage is a requirement of a Home Owners insurance policy.  If preventative steps to to mitigate further damage are not taken, insurance likely will not cover damage other than that caused by the initial covered peril.  

One of my careers has been as an independent licensed all lines catastrophe adjuster.  The number of people who apparently never read their insurance policy is mind boggling. During the 2004 Florida hurricane season I had a number of policy holders who refused to initiate temporary repairs of their homes to mitigate additional damage intially caused by the original covered peril event.  The most notable was a surgeon who refused to have a tree removed from his roof until I performed my inspection and adjusted his claim. I repeatedly informed him that claims are worked in the order they are filed and he was weeks from having his property inspected and his claim processed.  He refused.  There was nearby zero hurricane caused damage to his roof, or his home. He had a large tree on his roof and several branches of the tree had penetrated his roof resulting in rain being able to penetrate his house causing additional damage.  

His refusal to have the tree removed and get tarps on his roof ended up costing him nearly $250K in additional damage including mold, and extensive subsequent rain storm water accessing his damaged roof.

Everything else he did right. He took pics of the initial damage inside and out.  The day after the hurricane the damage to the interior of the house and contents was minimal.  Letting it continue to get wet and that moisture simmering destroyed his home. He had no mold coverage.  Had he done due diligence, his HO-3 RAV coverage policy would have addressed the covered damage.  

Great job in fixing the broken pipe and protecting your home.