### 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_blink_interval;
}
void LineEdit::set_caret_blink_interval(const float p_interval) {
	ERR_FAIL_COND(p_interval <= 0);
	caret_blink_interval = p_interval;
}
void LineEdit::_reset_caret_blink_timer() {
	if (caret_blink_enabled) {
		draw_caret = true;
		if (caret_can_draw) {
			caret_blink_timer = 0.0;
			queue_redraw();
		}
	}
}
void LineEdit::_toggle_draw_caret() {
	draw_caret = !draw_caret;
	if (is_visible_in_tree() && caret_can_draw) {
		queue_redraw();
	}
}
void LineEdit::_validate_caret_can_draw() {
	if (caret_blink_enabled) {
		draw_caret = true;
		caret_blink_timer = 0.0;
	}
	caret_can_draw = editable && (window_has_focus || (menu && menu->has_focus())) && (has_focus() || caret_force_displayed);
}
void LineEdit::delete_char() {