I have looked at the draft version of the law and it specifically states that the Chancen-Aufenthaltrecht is only for people with a Duldung.
Ypou can read this yourself on page 9 of the draft, under § 104c Chancen-Aufenthaltsrecht.
As the law is not yet passed, there may be changes made to it. However, I think it unlikely that such a significant change would be made to include thos with an Aufenthaltsgestattung. The law is specifically for individuals who on 01.01.2022 have for several years been living with a Duldung and who are neither going to leave Germany nor have the possiblitiy for any oher current available residence permit.