For an inmate confined in an institution in Prose wher does their Federal Habeas Petition clock begin tò run once the Supreme court of therr State has denied their state habeas Petitionn The day the habeas petition was denied or the day the petitioner received the rualing in the mail from a third party carrier?

If a petitioner is an inmate Confined in an institution proceeding in pro se are they qualified for equitable tolling for the number of days it takes a third party carrier to deliver a courts decision to said petitioner?

When does the federal habeas petition clock begin to run for an inmate confined in an institution after the state supreme court has denied their state habeas petition?