### 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
find_prev = memnew(Button);
	find_prev->set_flat(true);
	hbc_button_search->add_child(find_prev);
	find_prev->set_focus_mode(FOCUS_NONE);
	find_prev->connect("pressed", callable_mp(this, &FindReplaceBar::search_prev));
	find_next = memnew(Button);
	find_next->set_flat(true);
	hbc_button_search->add_child(find_next);
	find_next->set_focus_mode(FOCUS_NONE);
	find_next->connect("pressed", callable_mp(this, &FindReplaceBar::search_next));
	case_sensitive = memnew(CheckBox);
	hbc_option_search->add_child(case_sensitive);
	case_sensitive->set_text(TTR("Match Case"));
	case_sensitive->set_focus_mode(FOCUS_NONE);
	case_sensitive->connect("toggled", callable_mp(this, &FindReplaceBar::_search_options_changed));
	whole_words = memnew(CheckBox);
	hbc_option_search->add_child(whole_words);
	whole_words->set_text(TTR("Whole Words"));
	whole_words->set_focus_mode(FOCUS_NONE);
	whole_words->connect("toggled", callable_mp(this, &FindReplaceBar::_search_options_changed));
	
	replace_text = memnew(LineEdit);
	vbc_lineedit->add_child(replace_text);
	replace_text->set_custom_minimum_size(Size2(100 * EDSCALE, 0));
	replace_text->connect("text_submitted", callable_mp(this, &FindReplaceBar::_replace_text_submitted));
	replace = memnew(Button);
	hbc_button_replace->add_child(replace);
	replace->set_text(TTR("Replace"));
	replace->connect("pressed", callable_mp(this, &FindReplaceBar::_replace));
	replace_all = memnew(Button);