No. It documents the event stated in the receipt, not every later immigration requirement. The program still includes vetting, the instructed gift, eligibility and availability review, and the applicable visa or residence steps. Determine what has actually been approved before treating the receipt as permission to live or work in the United States.
Read the record without expanding its meaning
A payment acknowledgment may establish that the initial fee was received; another notice may concern a petition or a request for documents. Neither should be renamed a residence grant without support. The gift has its specified evidentiary role, but paying it does not guarantee the outcome.
Ask which actual status milestone and document would establish permission for the intended activity. Reading beyond the meaning of a record is the error here, and it usually happens in a single sentence spoken aloud. The remedy is mechanical: for each notice, write down what it decides and what it leaves open, in two lines, and keep those lines with the notice.
A payment acknowledgment decides that a payment was received; it leaves open every question about eligibility. The condition worth restating plainly is that vetting precedes the gift the applicant is instructed to make to the U.S. government, and making that payment does not guarantee the outcome.
Hypothetical example: a reinsurance executive lists four notices in a two-column table, and only one of them concerns a decision on the application at all.