### Godot version

4.0.stable

### System information

Windows 10, Forward+, GTX 1070 driver 528.49

### Issue description

When trying to edit the handle mode of a bezier cruve key from the inspector tab, the mode doesn't change. It works fine when right clicking on the key and setting the handle mode from here though. 

https://user-images.githubusercontent.com/24484962/222379540-29d71b6d-ff0c-4a21-9905-9750d0581fda.mp4



### Steps to reproduce

On an animation track using a bezier curve, select a key and try to change the handle mode from the inspector tab

### Minimal reproduction project

N/A
for (const KeyValue<int, List<float>> &E : key_ofs_map) {
		int track = E.key;
		for (const float &key_ofs : E.value) {
			int key = animation->track_find_key(track, key_ofs, Animation::FIND_MODE_APPROX);
			ERR_CONTINUE(key == -1);
			String name = p_name;
			if (name == "easing") {
				r_ret = animation->track_get_key_transition(track, key);
				return true;
			}
			switch (animation->track_get_type(track)) {
				case Animation::TYPE_POSITION_3D:
				case Animation::TYPE_ROTATION_3D:
				case Animation::TYPE_SCALE_3D: {
					if (name == "position" || name == "rotation" || name == "scale") {
						r_ret = animation->track_get_key_value(track, key);
						return true;
					}
				} break;
				case Animation::TYPE_BLEND_SHAPE:
				case Animation::TYPE_VALUE: {
					if (name == "value") {
						r_ret = animation->track_get_key_value(track, key);
						return true;
					}
				} break;
				case Animation::TYPE_METHOD: {
					Dictionary d = animation->track_get_key_value(track, key);
					if (name == "name") {
						ERR_FAIL_COND_V(!d.has("method"), false);