The link below is New York data but I'd suspect it isn't that different in New Hampshire.
As of the most recent week's data you were about 80 percent less likely to catch COVID if vaccinated, and better than 90 percent less likely to be hospitalized.
This data lags by several weeks, so it remains to be seen what effect Omicron will have on breakthrough cases, but as of now, to say that being vaccinated does not protect you from catching COVID is incorrect. Does it completely protect you, no. No vaccine provides perfect protection. But if everyone were vaccinated and everyone wore masks, we'd be much better off
https://coronavirus.health.ny.gov/co...akthrough-data