### Godot version

v4.0.beta14.official

### System information

Windows 11 22H2

### Issue description

There's not much to it, simply noticed that if you have Find or Find+Replace opened in the Script Editor, the Multi-Caret functionality seems to stop working -- forcibly removing all other carets after the first character is typed. I'd expect the Multi-Caret to remain until unselected by clicking elsewhere.

The content of what's in "Find" doesn't matter, it happens regardless.

https://user-images.githubusercontent.com/8159582/214234069-cbcc1681-3f09-4b10-9a90-857cc91d41a7.mp4



### Steps to reproduce

1. Open the Find or Find+Replace tool in the Script Editor _(nothing has to be inputted)_
2. Add multiple mouse cursors with Ctrl+Alt+Click **OR** highlight something and then highlight additional duplicates with Ctrl+D _(or synonymous keyboard shortcuts depending on OS)_.
3. Start typing as if going to add or replace in all locations where the multi-caret is

### Minimal reproduction project

N/A
error->set_text(p_error);
	if (!p_error.is_empty()) {
		error->set_default_cursor_shape(CURSOR_POINTING_HAND);
	} else {
		error->set_default_cursor_shape(CURSOR_ARROW);
	}
}
void CodeTextEditor::set_error_pos(int p_line, int p_column) {
	error_line = p_line;
	error_column = p_column;
}
Point2i CodeTextEditor::get_error_pos() const {
	return Point2i(error_line, error_column);
}
void CodeTextEditor::goto_error() {
	if (!error->get_text().is_empty()) {
		if (text_editor->get_line_count() != error_line) {
			text_editor->unfold_line(error_line);
		}
		text_editor->remove_secondary_carets();
		text_editor->set_caret_line(error_line);
		text_editor->set_caret_column(error_column);
		text_editor->center_viewport_to_caret();
	}
}
void CodeTextEditor::_update_text_editor_theme() {