If my understanding is correct…and perhaps this only applies to the Latin Church…
Ordination refers to incorporation into one of three Ordos, Episcopate, Presbyterate, or Diaconate. (CCC 1537-1538) Ordination confers “a gift of the Holy Spirit that permits the exercise of a “sacred power…”” (CCC 1538)
A deacon is configured to Christ the servant and receives a gift which allows him to not only baptize but witness marriages and give the blessing of the Church. (CCC 1256, , 1569, 1630) He is configured to Christ the servant (CCC 1570), being called to ministry, but he is not yet incorporated into the priesthood. (CCC 1569)
So when he is ordained to the priesthood, he is given another gift of the Holy Spirit, which configures him to Christ the priest, allowing him to act in the person of Christ the head (CCC 1563). Absolution of sins, Anointing the sick, and confecting the Eucharist are added to the list of sacraments he can administer. He is now a priest, but is still a servant.
On ordination to the episcopate, he is given another gift of the Holy Spirit, conforming him even more to Christ as ruler, teacher, shepherd, and priest. (CCC 1558) Confirmation and Ordination are added to the list of sacraments he can administer. He is still a servant, still a priest, but now is integrated into the high priesthood. Ordination to the episcopate means he has received the fullness of the sacrament of Holy Orders. (CCC 1557)
So…it seems to me that there is a series of gifts of the Holy Spirit which unfolds the fullness of Holy Orders, and that it is not the same ordination repeated, though the previous gifts and impressions/imprints of the Holy Spirit remain with each successive ordination.
Maybe someone more knowledgeable can correct me where needed?