I'm trying to understand the sounds of 册. Phonetically I think I'm hearing "twuh", which is nothing like the pinyin cè. What phonetic sounds are being made? Feel free to add another pronunciation at forvo.
The pinyin cì is not right, cè is the correct one. Hope that would be helpful for you.
/ce/ in IPA is [tsʰɯʌ]
I think it's natural if you perceive /e/ as "wuh".
furthermore, at least it sounds to me that when native English speakers pronounce the letter "t", their tongues are more retracted, i.e. the middle area of the tongue touches palate, which creates some friction and thus makes it sound like "ts" to me.
following this logic backwards, it also makes sense that you mistake /c/ in Chinese for "t" in English.