### Godot version

4.2 dev4

### System information

Windows 10.0.19045 - Vulkan (Forward+) - dedicated NVIDIA GeForce GTX 1060 (NVIDIA; 30.0.15.1403) - Intel(R) Core(TM) i7-7700HQ CPU @ 2.80GHz (8 Threads)

### Issue description

When you write a text in LineEdit (e.g. in the inspector) and the text is long enough to be scrolled, and then you delete all text with Ctrl + A -> Backspace, writing again will not show the first character.

https://github.com/godotengine/godot/assets/2223172/6432d029-6e56-404d-b159-1bd532513dc6



### Steps to reproduce

- add some node with a single-line text property
- edit the property, write something that doesn't fit the LineEdit width
- Ctrl + A -> Backspace
- write something again

### Minimal reproduction project

N/A
return caret_mid_grapheme_enabled;
}
bool LineEdit::is_caret_blink_enabled() const {
	return caret_blink_enabled;
}
void LineEdit::set_caret_blink_enabled(const bool p_enabled) {
	if (caret_blink_enabled == p_enabled) {
		return;
	}
	caret_blink_enabled = p_enabled;
	set_process_internal(p_enabled);
	draw_caret = !caret_blink_enabled;
	if (caret_blink_enabled) {
		caret_blink_timer = 0.0;
	}
	queue_redraw();
	notify_property_list_changed();
}
bool LineEdit::is_caret_force_displayed() const {
	return caret_force_displayed;
}
void LineEdit::set_caret_force_displayed(const bool p_enabled) {
	if (caret_force_displayed == p_enabled) {
		return;
	}
	caret_force_displayed = p_enabled;
	_validate_caret_can_draw();
	queue_redraw();
}
float LineEdit::get_caret_blink_interval() const {