I thought this video might be helpful for your situation.
Interesting analysis that Dr. Campbell provides of the study reported by the CDC. The study looked at four categories of individuals and Dr. Campbell ranks the results according to their risks of hospitalization. The four categories are listed below, according to their level of risk for hospitalization.
Highest Risk of Hospitalization -- Unvaccinated without having had covid-19 infection
Next Highest Risk of Hospitalizaiton -- Vaccinated without having had covid-19 infection
Lower Risk of Hospitalization -- Similar results for both Unvaccinated who have been infected with covid-19 and Vaccinated who have been infected with covid-19.
Study undertaken during delta phase of the pandemic.
Please correct me if I have got this wrong, I am writing this from memeory after watching Dr. C's youtube video posted above.
The graphs that Dr. C. presents based on the data tell an interesting story of the results of the study.