I had my third c/section in May and my tubes tied at the same time. It was absolutely fine. No different to the previous c/sections (in fact it was easier than my first). I was up and about within hours and driving within a week. I know there are stories that having a TL makes recovery take longer (not sure why - you're already being all cut open) but I really didn't experience that at all.
Try not to worry. Just enjoy the last few months of your pregnancy - I have bump envy!
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