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You can always make new offers at any time.
Whatever negotiations may have been floating, they are not binding until accepted.
I see no reason to delay taking a new course on any negotiation if it is a substantive change that you consider better than what was previously offered.
A PFD remains an offer until accepted.
I would move forward, particularly if your new PFD will reach the desk of a new decision maker.
I wouldn't use any guy.. I would take it into your own hands and do it yourself.