Why it's always has to be bhaalspawn?.
Well, I think I can say with high confidence that it is indeed very unlikely that Charname2 will be a Bhaalspawn, since the very last of them canonically died in order to bring Bhaal back to life, which canonically takes place before the events of BG3. At best Charname2 could be a decendent of a Bhaalspawn, though then there is the question if a Bhaalspawnspawn also has Bhaalessence like a regular Bhaalspawn. Bhaalspawn.
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Bhaalspawn.