AnimationTrackKeyEdit inspector not displayed on click of bezier key, only on click and drag

[krdluzni]

Tested versions

• Reproducible in: v4.3.dev4.official [df78c06], v4.3.beta1.official [a4f2ea9], v4.3.beta.gh [0ca0b46]
• Not reproducible in: v4.2.2.stable.official [15073af], v4.3.dev3.official [36e943b]

Regression between 4.3.dev3 and 4.3.dev4.

System information

Godot v4.3.beta (0ca0b46) - Windows 10.0.22631 - Vulkan (Forward+) - dedicated NVIDIA GeForce RTX 4090 (NVIDIA; 31.0.15.5123) - AMD Ryzen 9 7950X 16-Core Processor (32 Threads)

Issue description

When clicking on a bezier track key in the curve editor, the key edit inspector is not displayed.

Steps to reproduce

1. Open provided MRP.
2. Open node_3d.tscn
3. Click on the AnimationPlayer.
4. In the Animation editor panel, select the MRP animation.
5. Click the toggle to enter the bezier curve editing mode.
6. Click on a key in the editor (make sure to only click, not click and drag).

See that the inspector panel does not update to show the info of the selected key.

Minimal reproduction project (MRP)

bezier_select.zip

[matheusmdx]

Bisecting points to #88459 as the culprit:

[akien-mga]

CC @CookieBadger @TokageItLab

[CookieBadger]

looking into it