ہ has two jobs in Urdu. Word-initial or word-medial: it is the consonant /h/, like English 'hello'. Word-final after a consonant: it often acts as a short vowel /ə/, for example, کہ (ke, that) is pronounced 'ke', not 'kah'. The letter ھ (do-chashmi he) is a separate letter that pairs with consonants to mark aspiration: کھ, پھ, تھ, etc. Teaching the difference between ہ and ھ is one of the harder middle-school script lessons. Stroke timings approximate.

Reading کہ as 'ke' (not 'kah') without thinking about it means the script's logic has settled in. Name that settling.