Ok, I see how to do this in After Effects.
1) Select your layer
2) Choose Animation > Track Motion
3) In the Tracker Window choose Stabilize Motion
4) Move the Tracker Crosshairs onto the DOT you want to track
5) In the Tracker Window, press Play to Analyze.
6) In the Tracker Window, press Apply. Choose X/Y axis only.
Watch the magic.
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But you can’t do this in Premiere?