As an insured, know YOUR rights under Florida’s Claims Administration Act (Florida Statute s. 627.426). I wrote an article on this exact topic. If a third-party claim is asserted, or in the process of being asserted, against you, do yourself a favor and consult a lawyer that can assist you with preserving your insurance coverage rights. You pay liability insurance premiums for a reason so make sure you are not doing anything that could jeopardize rights under applicable insurance policies.
A liability insurer must comply with the Claims Administration Act if it wants to deny coverage based on a coverage defense (e.g., the insured’s failure to cooperate with the insurer).