I need to know the specific date when I filed my taxes

If you e-filed your tax return -

There will be a Electronic Postmark Report which has the date/time the tax return was transmitted and the date it was Accepted by the IRS, if Accepted.  The Report will be included when you use Print Center and the option for all worksheets.

To access your current or prior year online tax returns sign onto the TurboTax website with the User ID you used to create the account - https://myturbotax.intuit.com/

When you sign onto your online account and land on the Tax Home web page, scroll down and click on Add a state. 

This will take you back to the 2022 online tax return.

Click on Tax Tools on the left side of the online program screen.  Then click on Print Center.  Then click on Print, save or preview this year's return.  Choose the option Include government and TurboTax worksheets