Your NDA sits on the deal rather than in one person’s downloads folder. Raise it as a document request against the counterparty, send the link, and the send is written to the deal activity timeline, so “who has signed what” is a glance, not a conversation.
The countersigned copy comes back into the same deal folder. Nobody keeps a private list of which broker is still outstanding, because the deal keeps it.
Draft it from one of your own verified templates, or paste a Google Doc URL and keep signing where you already sign. When the paper comes from their side instead, the inbound NDA is read against your playbook and the clauses that differ are the ones you are shown, so reviewing a broker’s draft is a check, not a re-read.