Transport for London have now uploaded the 2023 fares- which can be seen on their fares finder. A useful feature is you can toggle between the 2022 and 2023 fares, so you can see what the increase is for any given journey.
https://tfl.gov.uk/fares/find-fares/tube-and-rail-fares/single-fare-finder?intcmp=54716
For instance Elizabeth Line fares are up by 50p into Central London.
To get Elizabeth Line fares from Heathrow continue typing beyond the first few options to get Heathrow Terminal [whichever] Rail Station.
The initial option of Heathrow Terminal [whichever] Underground Station is for the Piccadilly Line.
It is also worth inputting the adult fare, then changing it to National Railcards & Gold Cards (if you qualify) to see how much you save if you register the pre-purchased railcard with the gateline staff at Heathrow. In the case of the Elizabeth Line for instance that is £4.60 when travelling off peak (no discount if travelling in the peak).