DCF vs three statement model

Sorry in advance for the stupid question but I have to do a valuation on a public company. For the intrinsic portion I of course am running a DCF. For a DCF my understanding is that all I need is the P&Ls and then capex from CFS and change in NWC from BS. So is it fully necessary to do a three statement model? If so that’s fine but could anyone please explain why? Just for accuracy of those cash flow adjustments?

Also for this company for the cost of capital —> actually specifically for the cost of debt do I use the company’s yield or the cost of debt for all companies? I think the latter but wanted to confirm. And in general where do you pull this data from?

Thank you all in advance for your help

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