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I don’t think I’ve heard anyone pronounce resource as “rezource”.
One observation I’ve made is that in some English speakers (not American’s speakers (see previous thread I posted on (and excuse liberal use of parenthesis*))) you’ll often hear something pronounced somethink. I notice my mother does it, and on some comedies. David Jason as Del Trotter in “Only Fools and Horses”. I’m not sure if he does it in this clip, but for anyone who hasn’t seen the famous chandelier episode you have to see this!