I think, the referred Vedavākya from Śatapatha Brāhmaṇa which states that the nāmakaraṇa saṁskāra destroys pāpas should be taken as a stutyārthavāda. In other words, it's an arthavāda, which does praśaṁsā or stuti of the śāstrokta vidheya i.e. anuṣṭhāna of nāmakaraṇa saṁskāra. Furthermore, if I am seeing the shared document correctly, the nakṣatra, vyāvahārika and āhitāgni nāmas aren't mentioned in Sāyaṇabhāṣya but in Harisvāmi's ṭīkā. An āhitāgni is one who does pratīṣṭhā of āhavanīya, gārhapatya, and dakṣiṇāgni or is simply an agnihotrī. So, it seems āhitāgni nāma seems to be a nāma for yajana specifically, which might be used in gṛhasthāśrama by a dvija.I have never seen such a nāma before. Usually, only four nāmas are prasiddha (as stated in śāstras such as Dharmasindhu, etc.) - devatānāma or kuladevatānāma, nākṣatranāma, māsanāma, and vyāvahārika nāma. According to me, āhitāgni nāma is a type of vyāvahārika nāma, just that it might be viśeṣa for yajana, etc. and not for janasāmānya.
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agnyādhānātparamāhitāgnyādi svakarmāntaṁ prakāśaṁ nāma bhavet // ~ Vaikhānasa smārta sūtra (3.19)
Somayājī, Vājapeyī, etc. are examples of āhitāgni nāmas, which are kept by those who have done yajana/yājana of Somayajña, Vājapeyayajña, etc.namāsmai dadhāti nakṣatranāmadheyena / dvitīyamasya nāmadheyaṁ guhyamasyānyadabhivādanīyamopanayanakālānmātāpitarau saṁviditau bhavataḥ /.... somayājī tṛtīyaṁ nāma kurvīta iti vijñāyate // ~ Baudhāyana gṛhyasūtra (1.11.4-8)
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pratyāśramavarṇaniyatāni nityanaimittakakarmāṇyapi pūrvakṛtaduritakṣayārtham akaraṇanimittānāgatapratyavāyaparihārārthaṁ ca kartavyāni / ~ Tantravārttika (1.3.27)
The anuṣṭhāna of nityanaimittika karmas, anurūpa to one's varṇa & āśrama, should be done for the kṣayārtha of pūrvakṛta pāpas as well as for the parihāra of pratyavāya that would arise due to their ananuṣṭhāna.
nityānyadhigatāni karmāṇyupāttaduritakṣayārthāni / ~ Śāṅkarabhāṣya on Taittirīyopaniṣat
Saṁskāras such as nāmakaraṇa, karṇavedha, etc. are naimittika karmas, and their anuṣṭhāna does do pāpanāśana, as per Mīmāṁsā.
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