If Lore is unique from all other skills, segregate it. The character sheet just gives you two slots for Lore. It should get its own section because I'm going to have knowledge in more than two areas.
Do what Pathfinder 1e should have done and separate Knowledges from Skills.
Acrobatics, Athletics, Deception, Diplomacy, Intimidation, Performance, Stealth, Survival, and Thievery (9) are ability based skills, while Arcana, Crafting, Lore, Medicine, Nature, Occultism, Religion, and Society (8) are knowledge based skills.
Have "Key" Knowledges... those listed above that are essential to adventuring and have Lore covered other "General" Knowledge topics such as Military Training, Competition Archery rules, and the mating practices of the Chelaxian Bugbear Tribes.
Allow for a specific number of topics + INT modifier, at each level of TEML.