### 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
case NOTIFICATION_RESIZED: {
			_fit_to_width();
			scroll_offset = 0.0;
			set_caret_column(get_caret_column());
		} break;
		case NOTIFICATION_LAYOUT_DIRECTION_CHANGED:
		case NOTIFICATION_THEME_CHANGED: {
			_shape();
			queue_redraw();
		} break;
		case NOTIFICATION_TRANSLATION_CHANGED: {
			placeholder_translated = atr(placeholder);
			_shape();
			queue_redraw();
		} break;
		case NOTIFICATION_WM_WINDOW_FOCUS_IN: {
			window_has_focus = true;
			_validate_caret_can_draw();
			queue_redraw();
		} break;
		case NOTIFICATION_WM_WINDOW_FOCUS_OUT: {
			window_has_focus = false;
			_validate_caret_can_draw();
			queue_redraw();
		} break;
		case NOTIFICATION_INTERNAL_PROCESS: {
			if (caret_blink_enabled && caret_can_draw) {
				caret_blink_timer += get_process_delta_time();
				if (caret_blink_timer >= caret_blink_interval) {
					caret_blink_timer = 0.0;