No. Follow the actual government instructions and use the documents appropriate to your case stage. Gold Card processing should not be treated as automatic issuance of a U.S. passport.
Match the evidence to the status actually granted
Keep existing identity and travel records accurate and distinguish a visa or residence document from citizenship evidence. Do not describe yourself as a U.S. citizen solely because the processing charge or gift has been paid.
The transfer confirmation should match that instruction to the dollar. Identify which document actually controls at the current stage of a case: a receipt for a payment, a pending application, and an issued visa or admission record each prove something different, and none of them substitutes for the others. An employer, a bank, or another party asking what status has been reached is asking about the current controlling document, not about how far a payment has progressed, so keep that document accessible and current rather than pointing to a fee receipt as proof of anything beyond the fee itself. Where more than one document could plausibly answer the question, name the specific one relied upon rather than listing every document connected to the case as though each carried equal weight. Retire an earlier document from active use once a later one supersedes it, but keep both on file so the sequence stays clear. Describe status using the term the controlling document itself uses, not a shorthand that implies more than the document actually shows.