### 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
text_editor->clear_bookmarked_lines();
}
void CodeTextEditor::_bind_methods() {
	ADD_SIGNAL(MethodInfo("validate_script"));
	ADD_SIGNAL(MethodInfo("load_theme_settings"));
	ADD_SIGNAL(MethodInfo("show_errors_panel"));
	ADD_SIGNAL(MethodInfo("show_warnings_panel"));
}
void CodeTextEditor::set_code_complete_func(CodeTextEditorCodeCompleteFunc p_code_complete_func, void *p_ud) {
	code_complete_func = p_code_complete_func;
	code_complete_ud = p_ud;
}
void CodeTextEditor::show_toggle_scripts_button() {
	toggle_scripts_button->show();
}
void CodeTextEditor::update_toggle_scripts_button() {
	if (is_layout_rtl()) {
		toggle_scripts_button->set_icon(get_theme_icon(ScriptEditor::get_singleton()->is_scripts_panel_toggled() ? SNAME("Forward") : SNAME("Back"), SNAME("EditorIcons")));
	} else {
		toggle_scripts_button->set_icon(get_theme_icon(ScriptEditor::get_singleton()->is_scripts_panel_toggled() ? SNAME("Back") : SNAME("Forward"), SNAME("EditorIcons")));
	}
	toggle_scripts_button->set_tooltip_text(vformat("%s (%s)", TTR("Toggle Scripts Panel"), ED_GET_SHORTCUT("script_editor/toggle_scripts_panel")->get_as_text()));
}
CodeTextEditor::CodeTextEditor() {
	code_complete_func = nullptr;
	ED_SHORTCUT("script_editor/zoom_in", TTR("Zoom In"), KeyModifierMask::CMD_OR_CTRL | Key::EQUAL);
	ED_SHORTCUT("script_editor/zoom_out", TTR("Zoom Out"), KeyModifierMask::CMD_OR_CTRL | Key::MINUS);