Oh, and you are supposing that the "celebrant" fulfills the condition: "do what the Church does"?! If yes, just relax, 'cause suppously you're right...
In addition:
A validly ordained male priest acts literally "in the person of Christ" and it his ordination which gives him the power to confect the Eucharist. Even Angels cannot confect the Eucharist! Similarly, Notitiae (17 [1981] 186) reaffirms that the priest may never invite the congregation to stand around the altar and hold hands during the consecration (i.e. other non-priests at the Altar during the Eucharistic prayer with the intent to "co-consecrate" with the priest will also invalidate the consecration). Several priests con-celebrating is, of course, permitted since they have the priestly powers from their ordination.
The priest must have the intent of doing what the Church does, that being the intent to make Jesus physically present via the miracle of transubstantiation at the consecration. The Council of Trent - a dogmatic council in response to the Protestant heresy - declared against the Protestant view which denies the necessity of the intention of the minister. St. Thomas Aquinas also covers this requirement in Summa Theologica (Third Part, Question 64, Articles 8, 9, 10).
Council of Trent, Seventh Session, March 3, 1547; Canon 11: "
If anyone says that in ministers, when they effect and
confer the sacraments, there is not required at least the intention of doing what the Church does, [Eugene IV in the decr. cited.] let him be anathema."
Is Your Mass Valid? Liturgical Abuse