No, TurboTax won't be updated for this.
You do not have to include the state stimulus checks on your federal or state tax return as long as they are from one of the states listed below.
The IRS said it determined it will not challenge the taxability of payments related to general welfare and disaster relief. This means that people in the following states do not need to report these state payments on their 2022 tax return: California, Colorado, Connecticut, Delaware, Florida, Hawaii, Idaho, Illinois, Indiana, Maine, New Jersey, New Mexico, New York, Oregon, Pennsylvania, and Rhode Island. Alaska is in this group as well, but please see below for more nuanced information.
See IRS issues guidance on state tax payments to help taxpayers