2- Why are you performing 2 different nats for the same purpose, I mean you are already letting the ASA now that if any outside users on the outside contact this ASA for the Ip address of Object-01 (188.8.131.52) the destination should be untranslated to 10.0.0.2 and the source should be translated to the PAT-DMZ ip.
So from my point of view you only need this:
nat (outside,dmz) source dynamic any PAT-DMZ destination static OBJECT-01-out OBJECT-01-in
With that line you are translating both the source and destination on one single line,
Let me know If I understood the question properly
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Table of ContentsIntroductionVersion HistoryPossible Future
UpdatesDocuments PurposeNAT Operation in ASA 8.3+ SectionsRule Types
Network Object NATTwice NAT / Manual NATRule Types used per SectionNAT
Types used with Twice NAT / Manual NAT and Network Obje...
Table of Contents Introduction:This document describes details on how
NAT-T works. Background: ESP encrypts all critical information,
encapsulating the entire inner TCP/UDP datagram within an ESP header.
ESP is an IP protocol in the same sense that TCP an...