### 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
if (is_selection_only() && !replace_all_mode) {
		return false;
	}
	if (!is_visible()) {
		popup_search(true);
	}
	flags = 0;
	if (is_whole_words()) {
		flags |= TextEdit::SEARCH_WHOLE_WORDS;
	}
	if (is_case_sensitive()) {
		flags |= TextEdit::SEARCH_MATCH_CASE;
	}
	int line, col;
	_get_search_from(line, col, true);
	return _search(flags, line, col);
}
void FindReplaceBar::_hide_bar() {