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The new Chrome custom window namer function has really simplified this process. The custom window namer allows you to give a unique name to each Chrome window that you have open. To utilize the function right click to the right of the + sign (i.e. open new tab plus sign).
Select Name Window... and give a name to the window. Then when you hover your mouse over chrome in the task bar it will display that name. In my case I named my chrome sessions via location i.e. "M2RW" (Monitor 2 Right Window). In my window position profile I enter M2RW as my Window text and now regardless of what tab I have opened it always puts this chrome window/session where I want it. The feature is available in Chrome version 90. If not turned on yet go to chrome:flags in your browser address bar, search for window naming, and click enabled.