### 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
return line->get_text().to_int();
}
void GotoLineDialog::ok_pressed() {
	if (get_line() < 1 || get_line() > text_editor->get_line_count()) {
		return;
	}
	text_editor->remove_secondary_carets();
	text_editor->unfold_line(get_line() - 1);
	text_editor->set_caret_line(get_line() - 1);
	hide();
}
GotoLineDialog::GotoLineDialog() {
	set_title(TTR("Go to Line"));
	VBoxContainer *vbc = memnew(VBoxContainer);
	vbc->set_anchor_and_offset(SIDE_LEFT, Control::ANCHOR_BEGIN, 8 * EDSCALE);
	vbc->set_anchor_and_offset(SIDE_TOP, Control::ANCHOR_BEGIN, 8 * EDSCALE);
	vbc->set_anchor_and_offset(SIDE_RIGHT, Control::ANCHOR_END, -8 * EDSCALE);
	vbc->set_anchor_and_offset(SIDE_BOTTOM, Control::ANCHOR_END, -8 * EDSCALE);
	add_child(vbc);
	Label *l = memnew(Label);
	l->set_text(TTR("Line Number:"));
	vbc->add_child(l);
	line = memnew(LineEdit);
	vbc->add_child(line);
	register_text_enter(line);
	text_editor = nullptr;
	line_label = nullptr;
	set_hide_on_ok(false);
}
void FindReplaceBar::_notification(int p_what) {