Quick check on the part numbers using RealOEM.com shows that 34526769164 dosn't exhist.
it comes back with the message 'The specified part 34526769164 was not found.'
A search on 34526769165 shows it used on the following models and has been superceeded by new part numbers
34526769165
Repair kit, control unit DSC
From:
01/02/2006
To:
08/28/2006 (ENDED)
Weight:
0.825 kg
Price:
Superseded by:
34526778492
(04/01/2006 — 09/06/2018), Exchangeable retrospectively
34522460456
(08/01/2018 — ), Exchangeable retrospectively
It looks like you need to find a replacement with the superceeded part numbers to suit the year of your car, if you find a original 34526769165 bear in mind it could be older than your failed unit and in no better condition.
Found this on ebay from Germany https://www.ebay.co.uk/itm/34526775395-ABS-DSC-Steuergerat-Reparatur-BMW-M5-M6-Z4-24048-24049-Pumpenmotor/172568050038?hash=item282ddb7976:g:Sd4AAOSwux5YVSZA