I presume by “church” you are referring to denomination. And on that basis I will say my church does not claim to be the one true church.
Rather my church does claim to be part of the one true faith contained within the one holy catholic and apostolic Church founded by Jesus Christ.
I’ll also

what josephback said in the second post.
THANK YOU, and I get what your saying; BUT my friend how can that be unless “faith beliefs” are somehow not an intricate, and essential part of that “church”? I [ME] don’t see how that is possible?
I do get WHY Protestants do hold a different view of just one true- Church, and DO separate the faith beliefs of that group from "church: as being essential to the definition of Church
FROM the Catholic Catechism
171 The Church, “the pillar and bulwark of the truth”, faithfully guards “the faith which was once for all delivered to the saints”. She guards the memory of Christ’s words; it is she who from generation to generation hands on the apostles’ confession of faith. As a mother who teaches her children to speak and so to understand and communicate, the Church our Mother teaches us the language of faith in order to introduce us to the understanding and the life of faith.
186 From the beginning, the apostolic Church expressed and handed on her faith in brief formula normative for all. But already very early on, the Church also wanted to gather the essential elements of her faith into organic and articulated summaries, intended especially for candidates for Baptism:
This synthesis of faith was not made to accord with human opinions, but rather what was of the greatest importance was gathered from all the Scriptures, to present the one teaching of the faith in its entirety. And just as the mustard seed contains a great number of branches in a tiny grain, so too this summary of faith encompassed in a few words the whole knowledge of the true religion contained in the Old and the New Testaments.
778 The Church is both the means and the goal of God’s plan: prefigured in creation, prepared for in the Old Covenant, founded by the words and actions of Jesus Christ, fulfilled by his redeeming cross and his Resurrection, the Church has been manifested as the mystery of salvation by the outpouring of the Holy Spirit. She will be perfected in the glory of heaven as the assembly of all the redeemed of the earth (cf. Rev 14:4).
855 The Church’s mission stimulates efforts towards Christian unity. Indeed, “divisions among Christians prevent the Church from realizing in practice the fullness of catholicity proper to her in those of her sons who, though joined to her by Baptism, are yet separated from full communion with her. Furthermore, the Church herself finds it more difficult to express in actual life her full catholicity in all its aspects.”
**816 **“The sole Church of Christ [is that] which our Savior, after his Resurrection, entrusted to Peter’s pastoral care, commissioning him and the other apostles to extend and rule it. . . . This Church, constituted and organized as a society in the present world, subsists in (subsistit in) the Catholic Church, which is governed by the successor of Peter and by the bishops in communion with him.”
**813 **The Church is one because of her source: “the highest exemplar and source of this mystery is the unity, in the Trinity of Persons, of one God, the Father and the Son in the Holy Spirit.” The Church is one because of her founder: for “the Word made flesh, the prince of peace, reconciled all men to God by the cross, . . . restoring the unity of all in one people and one body.” The Church is one because of her “soul”: “It is the Holy Spirit, dwelling in those who believe and pervading and ruling over the entire Church, who brings about that wonderful communion of the faithful and joins them together so intimately in Christ that he is the principle of the Church’s unity.” Unity is of the essence of the Church:
1269 Having become a member of the Church, the person baptized belongs no longer to himself, but to him who died and rose for us. From now on, he is called to be subject to others, to serve them in the communion of the Church, and to “obey and submit” to the Church’s leaders, holding them in respect and affection. Just as Baptism is the source of responsibilities and duties, the baptized person also enjoys rights within the Church: to receive the sacraments, to be nourished with the Word of God and to be sustained by the other spiritual helps of the Church
1181 A church, “a house of prayer in which the Eucharist is celebrated and reserved, where the faithful assemble, and where is worshipped the presence of the Son of God our Savior, offered for us on the sacrificial altar for the help and consolation of the faithful - this house ought to be in good taste and a worthy place for prayer and sacred ceremonial.” In this “house of God” the truth and the harmony of the signs that make it up should show Christ to be present and active in this place. Amen