### 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
vbc_lineedit = memnew(VBoxContainer);
	add_child(vbc_lineedit);
	vbc_lineedit->set_alignment(BoxContainer::ALIGNMENT_CENTER);
	vbc_lineedit->set_h_size_flags(SIZE_EXPAND_FILL);
	VBoxContainer *vbc_button = memnew(VBoxContainer);
	add_child(vbc_button);
	VBoxContainer *vbc_option = memnew(VBoxContainer);
	add_child(vbc_option);
	HBoxContainer *hbc_button_search = memnew(HBoxContainer);
	vbc_button->add_child(hbc_button_search);
	hbc_button_search->set_alignment(BoxContainer::ALIGNMENT_END);
	hbc_button_replace = memnew(HBoxContainer);
	vbc_button->add_child(hbc_button_replace);
	hbc_button_replace->set_alignment(BoxContainer::ALIGNMENT_END);
	HBoxContainer *hbc_option_search = memnew(HBoxContainer);
	vbc_option->add_child(hbc_option_search);
	hbc_option_replace = memnew(HBoxContainer);
	vbc_option->add_child(hbc_option_replace);
	
	search_text = memnew(LineEdit);
	vbc_lineedit->add_child(search_text);
	search_text->set_custom_minimum_size(Size2(100 * EDSCALE, 0));
	search_text->connect("text_changed", callable_mp(this, &FindReplaceBar::_search_text_changed));
	search_text->connect("text_submitted", callable_mp(this, &FindReplaceBar::_search_text_submitted));
	matches_label = memnew(Label);
	hbc_button_search->add_child(matches_label);
	matches_label->hide();