### 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
ERR_FAIL_COND(p_event.is_null());
	Ref<InputEventKey> k = p_event;
	if (!k.is_valid() || !k->is_pressed()) {
		return;
	}
	Control *focus_owner = get_viewport()->gui_get_focus_owner();
	if (text_editor->has_focus() || (focus_owner && vbc_lineedit->is_ancestor_of(focus_owner))) {
		bool accepted = true;
		switch (k->get_keycode()) {
			case Key::ESCAPE: {
				_hide_bar();
			} break;
			default: {
				accepted = false;
			} break;
		}
		if (accepted) {
			accept_event();
		}
	}
}
bool FindReplaceBar::_search(uint32_t p_flags, int p_from_line, int p_from_col) {