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My dependencies:

    implementation 'androidx.appcompat:appcompat:1.4.0'
    implementation 'androidx.preference:preference:1.1.1'
    implementation 'com.google.android.gms:play-services-wearable:17.1.0'
    implementation 'com.google.android.material:material:1.4.0'

If I remove androidx.appcompat:appcompat:1.4.0, the warning vanishes, so I imagine there's some transitive dependency on an older version of androidx.appcompat:appcompat that doesn't have the warning.

https://cs.android.com/androidx/platform/frameworks/support/+/androidx-main:preference/preference/src/main/java/androidx/preference/PreferenceDialogFragmentCompat.java;l=53;drc=ca9feb3b73769089afbfd36b4d4a3d91239f9cd5;bpv=1;bpt=0

The upstream library is using @SuppressWarnings("deprecation"), which I suppose you could probably use to suppress the warning you're getting.

As for doing fully the non-deprecated way, it is possible that would require overwriting/duplicating more functionality than you currently are and/or updates to the Preference library.

However, I suspect that FragmentManager is capable of handling Fragment subclasses. You should probably look for instructions on developer.android.com, stackoverflow, or similar.