Top: CMD of our spectroscopically confirmed dwarf (blue squares) and C-type giant (green triangles) sources, the M-type giant (purple circles) sources of Kacharov et al. (2012) and the photometric C-type giants (red triangles) of the LP1 sample. The solid horizontal and vertical lines mark the TRGB and (J − K)₀ criterion at 0.74 and 1.20 mag used in Paper I. The two dashed lines mark the new (J − K)₀ cuts at 0.93 mag and 1.17 mag (see Sect. 5.4.2). Bottom: colour–colour diagram of the same sources. The solid horizontal and diagonal lines mark the (J − H)₀ = 0.72 mag and (J − K)₀ = 0.74 and =1.20 mag criteria used in Paper I. The horizontal dashed line marks the new cut at (J − H)₀ = 0.76 and the two diagonal dashed lines mark the new cuts at (J − K)₀ = 0.93 mag and 1.17 mag.