Great catch.
Absolutely and completely: here the "T" should be held, and should not be pronounced with a sharp burst of air。Or in Chinese: "T" 在兩元音之間失去爆破，就是說隻作它的發音動作，而不發出它的音來，快速滑入下一個音。
let or best: you're absolutely right, exp. for the word "best"in this reading。
I couldn't wait having your comments on the subtle differences of pronounciation points.
