Rent control is an instance of "chang[ing] the laws of supply and demand". If you need it, you didn't provide a solution. The "build, baby, build" solution would keep supply in line with demand, and prices would be stable on their own. Having rent control even if you don't need it (out of concern for long term tenancy security), you will just create a constituency with a vested interest in you not building any more.
Also, strictly speaking, building is not the only solution. Curbing demand by making the city less attractive would also be a solution.
Also, strictly speaking, building is not the only solution. Curbing demand by making the city less attractive would also be a solution.