Date Now and then Stay when document saved

I have a template form I built in Acrobat Pro DC.  I have a date field that auto populates the date when the document is open.   What I want to do is have that date stay once the document is saved so we know the date it was created. 

Example document opned today 1/24/2021   Saved with a new file name and then sent on its way.  The next person recieveing it opens it 1/25/2021   I want the date to still ready 1/24/2021.

I know I can  leave it to manual entry but was hoping there was a way to have it auto populate and then stay static the rest of the time.

Thanks

David