No, the City of Springfield does not receive any of the casino revenues. Only cities with a population of 80,000 or more directly benefit from the casino revenues.
According to state law, cities in Ohio are not permitted to collect a sales tax. Only the state and county governments can collect a sales tax.
The additional 0.4% will cost someone earning $30,000/year less than $120/year, or $9.75/month. To calculate how you will be impacted by this increase you can multiply your earned income by 0.004.