Copilot is telling me we don't have Barnard's inclination. It rotates too slowly and it doesn't offer sunspots. What we do have are constraints on the inner four planets. They are resonant and seem to have been there for - well, ever, as far as Earthlings can tell. This suggests they formed there.
From Table 3 in that paper I see minimum sini≈0.4 across the board. That is 0.4115 rad; or 23.6° up to not quite 90 (90 is edge-on which means transits as we don't see).
Going to the Basant paper which confirmed the four, the Msini limit on a HZ (then-calc'ed 10-42 days) planet is a paltry 0.57 M⊕. But. sini of 0.4 would allow up to 1.425 M⊕ out there.
We cannot yet rule out an Earthlike in the HZ. Well, as earthlike as an airless tidally-locked rock can be.
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