@mayertucker Like the others who have responded, I strongly first finding a reputable lawyer like NOVA or others. The SF-95 seems like a simple form, but knowing what you need to put in every field is a bit.
I filed an FTCA on my own and won a settlement. Despite almost dying, it took about two years to complete (during COVID).
Look up @Berta and FTCA or 1151 here. She is no longer on Hadit though, but had filed a number of them. Keep in mind that FTCA wins or settlements means they pay you money, but 1151 means service connection just like any of your other service connected disabilities. In some cases, an "offset" might apply, but you'll have to research that on your own. 1151's can be filed at any time.
They said my case was presented to three VA doctors for review, but only one was against my claim. If offered a settlement, you can present and justify a counter offer. When the settlement is accepted, you have to sign a release not to hold the VA legally liable for the injury. However, they would not provide copies of the VA doctor's findings or how the settlement was calculated.
My care providers over a 5 year period prior to the injury were doctors, student doctors, contractors, and lesser staff like nurses, nurse practitioners, and physicians assistants. Some were direct VA employees while others were not.