There is a price surge in insurance recently and the opportunity was ripe. I wasted no time and ran to the local CSS office and every single one of those agreed I can cancel this VVG insurance and in the new policy, I will not have it anymore in my new policy.
Drumrolls... new policy arrives... VVG 65 CHF/month ... till I die.
Do it before the end of the month.
They'll issue a new policy without supplementaries. A new policy might even be on its way. I've already received mine for 2023 and had to make changes and got new ones issued.
Whether you can still give notice for next year seems doubtful, I would expect the notice period to be 3 months or more.
However, you can cancel every insurance that is subject to private insurance law after three years, doesn't matter how long the contract runs. This is new, it has been intruduced at the start of this year. If you signed this year, you could have rescinded your signature within 14 days, but that's more of a sidenote and FYI for next time. Always make an insurance cancellable every year, have that added to it, don't sign otherwise.
All the better for OP if not. Nonetheless it won't hurt to complain and try to cancel now, the new year hasn't started yet.