### 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
}
				fc->set_opentype_features(ftrs);
			} break;
			default: { 
				Dictionary ftrs;
				ftrs[TS->name_to_tag("calt")] = 1;
				fc->set_opentype_features(ftrs);
			} break;
		}
	}
	text_editor->set_code_hint_draw_below(EDITOR_GET("text_editor/completion/put_callhint_tooltip_below_current_line"));
	code_complete_timer->set_wait_time(EDITOR_GET("text_editor/completion/code_complete_delay"));
	idle->set_wait_time(EDITOR_GET("text_editor/completion/idle_parse_delay"));
}
void CodeTextEditor::_text_changed_idle_timeout() {
	_validate_script();
	emit_signal(SNAME("validate_script"));
}
void CodeTextEditor::validate_script() {
	idle->start();
}
void CodeTextEditor::_error_button_pressed() {
	_set_show_errors_panel(!is_errors_panel_opened);
	_set_show_warnings_panel(false);
}
void CodeTextEditor::_warning_button_pressed() {
	_set_show_warnings_panel(!is_warnings_panel_opened);
	_set_show_errors_panel(false);
}
void CodeTextEditor::_set_show_errors_panel(bool p_show) {