Could I open a community center that is for profit? What would it be considered as?

For-profit models tend not to work for community centers, if they're even legal, as there is no real source of profit that would not involve ethically questionable practices. Community centers tend to offer services either for free or at a cost below market rate for those who can't afford to pay for those services. To make a profit, you would have to charge market rate for services and programs which contradicts the mission of helping marginalized communities. It also would violate social work ethics. Nonprofit status allows you to compete for government contracts, achieve tax exempt status, and solicit donations for funding. You should not be trying to profit off a community center.