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The correct term is "turn to act". It is often shortened to "action". "Player X, it's your turn to act". "Action is on Player X".
I think the answer lies in your own question. It's the players "turn to act"
Although I don't think these are solely poker terms, "Total Money" is equivalent to Bankroll. "Money Invested" is equivalent to Money at Risk or Current Exposure to Risk. Some useful links to answers from this site on the topic of bankroll are: What is a proper starting bankroll? Tools for Managing Bankroll, Income and Losses
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