Do these types of traps work well for mice? I get so grossed out

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My cat just ate a mouse! Should I be worried?

Feeke Mouse Traps, Mice Traps for House, Small Mice Trap Indoor Quick Effective Sanitary Safe Mousetrap Catcher for Family and Pet - 6 Pack, (M01-6Pack) : Patio, Lawn & Garden

Caught several mice in the garage this fall/winter as usual. Then this guy showed up. Final mouse boss orrat?? SE PA. Spotted it 2 nights in a row and then not since.

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