Do i need to create new trusted application for lync intergation in new site?

Hi!

I have one site (let's call site1) with exchange servers and lync servers and integration beetwen this servers and all ok. I have lync FE-pool in site1 (let's call FEPool1). And i have trusted allpication (let's call app-lync-1) in exchange for lync, what point to FEPool1 (i used .\Configure-EnterprisePartnerApplication.ps1 for configure it).

Some day ago we deploy lync and exchange servers in new site (let's call site2). And now i try Configuring Lync Server 2013 to be a Partner Application for Exchange 2013 by https://technet.microsoft.com/en-us/library/jj688151(v=ocs.15).aspx 

And i get error:
Found existing Partner Application "LyncEnterprise-xxxxxxxxxxxxxxxxxxxxxxxxxx" with duplicate properties.

And i have question: Should i create additional trusted application for lync in exchange for new site or enought 1 application, that was created in site1?

sorr for poor engl :)