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So, depending, you might be able to wear your new stuff or your 3 mm alone. Together you have a 5 mm. I would probably take a light hood or beanie to give you maximum flexibility.So I decided to get these and also take my 3mm full suit. It will be end of July first of August so the water should be in the 80 deg F range.
https://www.amazon.com/gp/product/B07837HB94/ref=ppx_yo_dt_b_asin_title_o02_s00?ie=UTF8&psc=1
https://www.amazon.com/gp/product/B013K4B2SQ/ref=ppx_yo_dt_b_asin_title_o02_s01?ie=UTF8&psc=1
PS I have a little extra blubber of my own.