The temperature has dropped to a comfortable 95 and 11% humidity and I'm going out to file away.
It's not worn too badly but I would go ahead and re-shape the edge. JB's advise is correct if that axe had to last you a lifetime. But it doesn't. Most of us these days are never going to wear our axes. And we're more likely to use an axe if it's in prime condition.
I would draw the shape you want with a sharpie keeping in mind that the toe should be slightly longer than the heel. Then take the axe to the bench grinder. Keeping the bit at 90° straight into the wheel, grind the shape you've drawn. When grinding at 90° the metal is removed before it has a chance to overheat. Still be careful and quench as necessary. Once the shape has been corrected you can sharpen it with a file.
A bench grinder won't get it done?. . .I have a 8'' coarse wheel on the bench, last night I pushed it across for 5 minuets, didn't make a difference.
NO NO flat on the bench not on the grinder. Just pushing it across.