Running

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Would it be unrealistic to do a 5k road race six weeks postpartum (that would be on Thanksgiving Day). I'm a runner and I'm obviously rusty since being pregnant and I would of course consult my doctor first but I'm anxious to get back out there and I do this race every year....even if I half walk/run it. Thoughts?? Please be nice. I'm being induced tonight at 41 +4, FTM.