From my reading, I have determined that this Church is apparently not in communion with the RCC (although members may apparently take communion in Chaldean Catholic Churches), the Oriental Orthodox, or the Eastern Orthodox and is clearly Nestorian. if so, how can a Chaldean Catholic take...
www.byzcath.org
"The hierarchies of the Assyrian Church of the East and the Chaldean Catholic Church subsequently promulgated a joint synodal decree implementing the present Guidelines for Admission to the Eucharist between the Chaldean Church and the Assyrian Church of the East on 20 July 2001. These guidelines permit liberal sharing in sacraments of communion (qurbana), reconciliation, and anointing of the sick for the diaspora of the respective churches.
This document includes following provisions: (1) Assyrian faithful are permitted to participate and to receive Holy Communion in a Chaldean celebration of the Holy Eucharist (2) Chaldean faithful are permitted to participate and to receive Holy Communion in an Assyrian celebration of the Holy Eucharist, even if celebrated using the Anaphora of Addai and Mari in its form without the Words of Institution. (3) Assyrian ministers are invited (but not obliged) to insert the Words of Institution in the Anaphora of Addai and Mari when Chaldean faithfuls are present to the liturgy.
The provisions above are intended exclusively to pastoral necessity, i.e. when it is not possible for a Assyrian or Chaldean faithful to attend their own Church. This document does not express a relationship of Full Communion, even if it marks the mutual recognition of the validity of the apostolic succession of the other Church, as well as its priesthood and sacraments, a recognition by the way never contested. It also has been possible because the Anaphora of Addai and Mari, even without the Words of Institution, has been officially declared valid by the Holy See with the very same document.
From a canonical point of view this document hasn’t brought breaking news: actually canon 671 of the 1991 Code of Canons of the Eastern Churches of the Catholic Church already stated that “If necessity requires it or genuine spiritual advantage suggests it and provided that the danger of error or indifferentism is avoided, it is permitted for Catholic Christian faithful, for whom it is physically or morally impossible to approach a Catholic minister, to receive the sacraments of penance, the Eucharist and anointing of the sick from non-Catholic ministers, in whose Churches these sacraments are valid. 3. Likewise Catholic ministers licitly administer the sacraments of penance, the Eucharist and anointing of the sick to Christian faithful of Eastern Churches, who do not have full communion with the Catholic Church, if they ask for them on their own and are properly disposed” (see also canons 843 and 844 of the Latin rite Catholic Code of Canon Law). It shall also be noted that the Assyrian Church of the East follows an Open Communion approach allowing any baptized Christian to receive its Eucharist.[31]
From an ecumenical point of view this document wanted to mark a further step in the relation between the Chaldean Church and the Assyrian Church of the East, possibly beginning a pastoral collaboration. Anyway in the following years the dialog between the two Churches slowed down and was suspended in 2005 and not yet resumed."