Actually i read some where that in the entire time of humankind on earth, the earth has just covered 1/10th of a percent around the milky way galaxy, so assuming earth would survive that long and humankind would survive to witness it, i would say it would take billions-billions of year, before earth would move to closer to giant stars.
As for the supernova activity, humankind hasn't seen a supernova (excluding some theories), but our best bet to witness on would be Betelgeuse
, it is already old for its size class and is expected to explode relatively soon (it may explode tomorrow or after a million years nobody knows exactly when) compared to its age.
So, i would say, we would be lucky if we witness a supernova in our lifetime.
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