The last suit I filed against a telemarketer was against the “beneficiary” company as the lead generator who called me was of course overseas. They claimed that they could not be held vicariously liable for the calls but ultimately settled with me because litigating that would cost a lot more money than the settlement amount.
Some state statutes go further than the tcpa and address vicarious liability specifically, so if you’re in one of those states you have a stronger legal leg to stand on.
It was worth it to me at the time but the biggest issue is you don’t have control over when the calls come in- so you have to spend some time up front social engineering these people to get the information you need during inconvenient times of the day.
Basically once you’ve identified the caller or the business that benefits from the call, you write a demand letter that states the details of the calls and you intend to sue under the tcpa if they do not wish to settle for $$$ before a given date.
You’ll want to read the text of the tcpa first - basically you can be awarded up to $500 per call and ask the court for triple damages so you can allege damages for up to $1500 per call. Also research any state laws you may have (that have a “private right of action” aka you can bring the suit yourself). Those damages can be layered on top.