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I’m not sure what you mean by in there but yes, the heat would be transferred to the environment.

E=m(c^2) describes how much energy is contained in matter. It’s useful for nuclear reactions, but your body isn’t a nuclear reactor and you aren’t consuming substantial quantities of radioactive isotopes, like uranium ore, that will decay on their own so it isn’t relevant here.

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Still energy is being radiated. A mass loss has to occur for that

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Radiation of heat is done through em waves which are massless particles. Being in direct contact with the air will transfer heat via conduction, or particles vibrating against each other - which is how the vast majority of heat loss will occur.

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