Out of curiosity I tried Microsoft Edge's copilot with this request
"write a Catholic formal liturgy with rubrics for adult baptism."
It replied
Here is a possible Catholic formal liturgy with rubrics for adult baptism, based on the sources I found:
Celebration of the Sacrament of Baptism
Reception of the Candidate
The priest or deacon welcomes the candidate and the godparents at the door of the church and asks the preliminary questions:
Priest: What is your name? Candidate: … Priest: What do you ask of God’s Church? Candidate: Baptism. Priest: What does Baptism offer you? Candidate: Faith in Jesus Christ and eternal life.
The priest or deacon then traces the sign of the cross on the forehead of the candidate and invites the godparents to do the same. He leads them to their place in the church.
Liturgy of the Word
The readings from Scripture are proclaimed, followed by a homily. The readings may be chosen from those suggested in the Roman Missal or the Rite of Christian Initiation of Adults
1. The homily should explain the meaning and effects of Baptism.
Celebration of Baptism
The priest or deacon addresses the congregation:
Dearly beloved, with one heart and one soul, let us by our prayers come to the aid of this our brother/sister in his/her blessed hope, so that, as he/she approaches the font of rebirth, the almighty Father may bestow on him/her all his merciful help.
He then invites them to pray in silence for a moment and then to join him in singing or saying the Litany of Saints
2.
After the litany, he says a prayer over the water, asking God to sanctify it and make it a source of new life. He may also touch the water with his hand or breathe over it as a sign of invoking the Holy Spirit.
He then questions the candidate about his/her renunciation of sin and profession of faith, using one of the following formularies:
Form A Do you renounce Satan? I do. And all his works? I do. And all his empty show? I do.
Form B Do you reject sin, so as to live in the freedom of God’s children? I do. Do you reject the glamour of evil, and refuse to be mastered by sin? I do. Do you reject Satan, father of sin and prince of darkness? I do.
Form C Do you renounce sin, so as to live in God’s love? I do. Do you renounce evil, so as to walk in God’s ways? I do. Do you renounce Satan, who is a liar and an enemy of God? I do.
After each renunciation, the congregation may respond: Amen.
The priest or deacon then asks:
Do you believe in God, the Father almighty, creator of heaven and earth? I do. Do you believe in Jesus Christ, his only Son, our Lord, who was born of the Virgin Mary, suffered death and was buried, rose again from the dead and is seated at the right hand of the Father? I do. Do you believe in the Holy Spirit, the holy catholic Church, the communion of saints, the forgiveness of sins, the resurrection of the body, and life everlasting? I do.
After each profession of faith, the congregation may respond: Amen.
The priest or deacon then says:
This is our faith. This is the faith of the Church. We are proud to profess it in Christ Jesus our Lord.
The congregation responds: Amen.
Baptism
The priest or deacon invites the candidate to come to the baptismal font. He may also ask him/her to repeat his/her baptismal name. He then baptizes him/her by pouring water over his/her head three times or by immersing him/her three times in water, saying:
N., I baptize you in the name of the Father, and of the Son, and of the Holy Spirit.
He may also make a sign of cross on his/her forehead with water. The congregation may respond: Amen.
Anointing with Chrism
The priest or deacon anoints the newly baptized on the crown of his/her head with sacred chrism (perfumed oil), saying:
God, our Father, has freed you from sin, given you a new birth by water and Holy Spirit, and welcomed you into his holy people. He now anoints you with chrism, the oil that consecrates priests, prophets and kings. As Christ was anointed Priest, Prophet and King, so may you live always as a member of his body, sharing everlasting life.
The congregation may respond: Amen.
Clothing with White Garment
The newly baptized is clothed with a white garment (a stole or a robe), symbolizing his/her new dignity as a Christian. The priest or deacon says:
N., you have become a new creation, and have clothed yourself in Christ. See in this white garment the outward sign of your Christian dignity. With your family and friends to help you by word and example, bring that dignity unstained into the everlasting life of heaven.
The congregation may respond: Amen.
Lighted Candle
The newly baptized is given a lighted candle, which is lit from the paschal candle (a large candle that represents the risen Christ). The priest or deacon says:
Receive the light of Christ. This light is entrusted to you to be kept burning brightly. You have been enlightened by Christ. Walk always as a child of the light and keep the flame of faith alive in your heart. When the Lord comes, may you go out to meet him with all the saints in the heavenly kingdom.
The congregation may respond: Amen.
Ephphetha or Prayer over Ears and Mouth
The priest or deacon touches the ears and mouth of the newly baptized with his thumb, saying:
The Lord Jesus made the deaf hear and the mute speak. May he soon touch your ears to receive his word, and your mouth to proclaim his faith, to the praise and glory of God the Father.
The congregation may respond: Amen.
Conclusion of the Rite
The priest or deacon concludes the rite by saying:
Dearly beloved, this brother/sister has been reborn in baptism. He/she is now called a child of God, for so indeed he/she is. In confirmation he/she will receive the fullness of God’s Spirit. In holy communion he/she will share the banquet of Christ’s sacrifice, calling God his/her Father in the midst of the Church. In the name of this Church, our mother, I present him/her to you and ask you to accept him/her as a new member of Christ’s faithful people.
The congregation responds: Thanks be to God.
The priest or deacon then leads the newly baptized and the godparents to their place in the church. He may also introduce him/her to the congregation and invite them to welcome him/her with applause. He then continues with the liturgy of the Eucharist, in which the newly baptized participates for the first time. He/she may also present the gifts of bread and wine at the offertory. He/she receives communion under both kinds, bread and wine. After communion, he/she may also receive a special blessing from the priest or deacon.