How can the Prophet's being the first to enter Paradise be reconciled with martyrs entering Paradise immediately upon their death?

Martyrs do not enter Paradise with their bodies before the Day of Resurrection; rather, their souls enter it, as evidenced by religious texts which indicate that the souls of martyrs reside in the crops of green birds that roam in Paradise. Believers enter Paradise with their souls in the barzakh, and this entry is temporary. As for the complete entry with both body and soul, that will be on the Day of Resurrection. The Prophet, peace and blessings be upon him, will be the first to enter Paradise, and he is a martyr, as he died affected by the poison he consumed in Khaybar.