The problem is raising rents are always due to lack of supply. I used to be very supportive of rent control but realized it's just a shitty band-aid on the real problem - lack of housing.
It will keep rents low for a bit, but won't fix the fundamental problem that allows high rents in the first place: and people will still struggle to find housing.
And you can bet your ass that any new will have massively increased rent or prices to compensate.
The real fix, like everywhere else, is to kick out the nimbys and allow building again
There's an average renter turnover. If the market would usually see a 5% increase yoy, and average stay us 5 years, this 3% policy means you'd have tenents "underpaying" by about 13%. So, to compensate, instead of new leases being 27% more expensive, they'll be 40% more expensive after 5 years.
The root cause of all the raising home prices and rents is always the same: nimbys and lack of housing supply. Rent control works for people who are already in a home, but makes the problem worse for everyone else (who move, or become adults, etc)