Your next step (which should be your first step) is to figure out if "your phone" uses late edition of PowerDelivery and can negotiate anything above 5 V level.
If it supports PD and can use the elevated 12-V voltage profile, you can proceed with:
(2) Make a 12V-to-5V switcher, to provide the 5V source for default power path (because everything must start with 5V)
(3) Since you already made your selection for BM92A50MWV chip, you need to read carefully its datasheet, not just the matketing description of it.
(4) Then you will need to select any MCU that supports I2C interface, and write a program which will communicate to the BM92A50MWV chip which power profile you can/will offer, which would be obviously a 5-V (with whatever current you can manage with 12-to-5V switcher), and the 12-V profile with whatever current your battery can deliver. This will allow the BM92A50MWV chip to spill out its right capabilities to external cable and to the connected "your phone".
(5) upon successful completion of PD exchange protocol (done by BM92A50MWV ) and accepting the phone request for the 12-V profile, the chip will likely automatically switch from 5V to 12V path, although it is not clear from the datasheet.
(6) before doing all this, it is highly advised to procure a reference platform for the BM92A50MWV if you can find one, with code samples and internal register definitions. If the design doesn't exist, even after contacting ROHM engineering, change your selection of CC controller IC, and start over.
That't about it.