Both responses are correct that you declare gambling winnings as income to Arkansas even if they are won in a casino in Oklahoma, and that you get credit on your Arkansas return for the taxes you paid to Oklahoma on the same gambling income.
You can read the Arkansas instructions and stance on gambling income at the Arkansas Department of Finance and Administration's website here on Subject 208. For tax year 2019, the income is entered on Form AR-OI on line 4, which carries to Form AR1000F on line 22.
Also, be sure to enter your Oklahoma information before Arkansas. That way, when you do your Arkansas interview, TurboTax will already have calculated the Oklahoma tax and can apply it as a credit in Arkansas.
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