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PMUs can detect an overcurrent and restart power sequence.
Compare diode mode readings on all secondary rails with good board, or reference table.
https://openboarddata.org/?a=showboardsolutions&bpath=laptops/apple/820-02016
12.6V is correct voltage without battery connected.
PPVBAT_G3H_CHGR_R must have all the time same voltage as PPBUS_G3H; no matter battery is connected, or not.
Just in case, try bypassing R6950.
You can also remove D6950.