Dans la mesure où

22:38 May 12, 2020 

There is nothing "embarrassing" there.

The fundamental problem / nasty trap with machine translation, outdated or latest version, is not that the MT is always wrong, or clumsy. It's not.

You will get more or less often perfectly usable "translations" **of short fragments**- even sometimes exactly what you would use. That doesn't make MT in any way better than or a replacement for a professional translator.

The real problem is that at times MT will get it hopelessly wrong, and if you are unlucky the proposed "translation" will sound perfectly acceptable (in the sense of "nicely said", as opposed to being obvious gibberish)

THEN it can turn really nasty - if you don't have a way of comparing with the ST (you don't have it or you don't understand the language of the ST) - you could easily assume that the "nicely flowing" but wrong and useless part is as good as the "good" parts. And if you are really really unlucky - the hopelessly/farcically/ ... wrong but convincingly sounding "translation" will be the translation of the key point of the whole text! And if that happens, just these few wrong words will make ten / hundred times more damage than any "saving" made by using MT

18:43 May 12, 2020 

there are any doubts that the "obvious" meaning could be wrong for the specific ST.

But here it's crystal clear and for the purpose of translating this sentence there is no need whatsoever to know any specifics about what's in "paragraphes 1 et 2", nor what are exactly "les conditions des paragraphes 4 et 5."

The sentence could be rearranged this way, and would have exactly the same meaning

SI
dès acceptation par les deux parties de l’objet de la mission et de ses conditions, l'Entreprise mobilise les ressources nécessaires à la réalisation du contrat et compte tenu (/ selon) des conditions des paragraphes 4 et 5.
ALORS
Les paragraphes 1 et 2 ne seront pas applicables

16:50 May 12, 2020 

Can you give us a short summary of the content of paragraphs 1/2 and of paragraphs 4/5?

14:33 May 12, 2020 

which embarrassingly enough is also what DeepL suggests. I checked out of curiosity. But it's what I'd use.

14:09 May 12, 2020 

"since" and "given that" could be used here, I'm pretty sure.
En fait dans cette phrase, je suis pour ma part à peu près sûr que cela signifie l'équivalent de "étant donné". Mais n'étant pas natif anglophone, je m'abstiens de répondre directement. Toutefois, ceci ne signifie pas "provided that", j'en suis sûr.

13:47 May 12, 2020 

rejected?