What leverage did Pakistan have over Iran and the US?

For those who think that Pakistan 'mediated' the ceasefire on its own and both sides agreed to do so because of Pakistan and not because they wanted too do so themselves - what leverage do you think Pakistan had over Iran and/or US?

For e.g. when US mediated the Indo Pak war of 2025 - Trump threatened a massive Tarrif war that bought India to the table and hostilities ended.

What leverage do you think Pak had on both parties here?

On X, read about some regime proponents claim Pak threatened Iran with direct attacks - which caused them to kneel and accept a ceasefire.

How many here agree?

What about the US, and how did Trump agree to Irans proposals instead of his own 15 points?

Please share your thoughts.