The seal was probably to help prevent vibrations. I'm not sure I would replace it with something with adhesive ... at least not strong adhesive. I'd just get some backer rod or a rubber gasket if I felt it needed it.
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2011 370Z 6MT Sport Gun Metallic | ARC | CJM | Ecutek | FI | Fujimura | R2C | SPL | Stillen | TWM | Z1 | ZSpeed | |