How do I take the mouse's moving position and convert it to world position?

Using a physics handle to grab and hold an object, this is how i do it, it’s very similar to your way but less roundabout, it is very accurate. Also here’s an alternate way:

The ‘trace start’ will be the cursor’s position, trace result location will be what was clicked on.

If you want it to update constantly instead of only when you are clicking, the simplest way is to just run it on event tick.

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