The following illustration should help:
I have a sheet that is made to used by others and I have quite a few indirect() references around, so I need to formulaically handle a changed sheet tab name.
I used the formula from JohnP2 (below) but was having trouble because it didn't update automatically when a sheet name was changed. You need to go to the actual formula, make an arbitrary change and refresh to run it again.
=REGEXREPLACE(CELL("address",'SHEET NAME'!A1),"'?([^']+)'?!.*","$1")
I solved this by using info found in this solution on how to force a function to refresh. It may not be the most elegant solution, but it forced Sheets to pay attention to this cell and update it regularly, so that it catches an updated sheet title.
=IF(TODAY()=TODAY(), REGEXREPLACE(CELL("address",'SHEET NAME'!A1),"'?([^']+)'?!.*","$1"), "")
Using this, Sheets know to refresh this cell every time you make a change, which results in the address being updated whenever it gets renamed by a user.