Jan 5 (Reuters) - The Baltic Exchange"s dry bulk sea freight index (.BADI) was little changed on Wednesday, as higher rates for panamax vessels countered a dip in the capesize and supramax segments. * The overall index, which factors in rates for capesize, panamax and supramax vessels, rose by 4 points to 2,289. * The capesize index (.BACI) fell 49 points, or 2.1%, to 2,301, its lowest level since late-March, 2021. * Average daily earnings for capesizes, which transport 150,000-tonne cargoes such as iron ore and coal, decreased by $406 to $19,084. * Iron ore futures rose on Wednesday as restocking demand in China propelled spot prices of the steelmaking ingredient to the highest in more than a week, despite renewed steel production controls in Tangshan city . * The panamax index (.BPNI) gained 129 points, or 4.5%, at 3,003. * Average daily earnings for panamaxes, which ferry 60,000-70,000 tonne coal or grain cargoes, rose by $1,158 to $27,865. * The supramax index (.BSIS) slipped 44 points to its lowest level in more than a month at 2,165.