How to reproduce:
1. Open the attached project "IN-127753"
2. In the Project window, open the "Recorded (1)" Animation Clip
3. In the Animation window, right click the first set of Position keyframes
4. In the menu, select the “Auto” preset
5. Right click the same set of Position keyframes
6. Observe the right click menu

Actual result: The tangent mode is not changed to the selection
Expected result: The tangent mode is changed to the selection

Reproducible with: 6000.3.0a1, 6000.3.6f1, 6000.4.0b6, 6000.5.0a5
Not reproducible with: 6000.0.66f2, 6000.2.0b2 (d4c40f50eb81)

Reproducible on: Windows 11
Not reproducible on: No other environments tested

Workaround: Modifying the tangent modes in the Curves mode