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Yep, that's pretty much spot on.

Although Im sure the improvement isnt that significant per trade, is it worth trying to game this to lower my toxicity, i.e. use odd lots, break up my trade etc?

Nah probably not. But if you use IBKR, you can use their best efforts VWAP execution algo: https://www.interactivebrokers.com/en/index.php?f=1124

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