Here's some idea of how simple and quick this can be to fix in Lightroom Classic. I don't use Lightroom CC, so have no idea whether these same features are available there.
To see your over and under exposed sections of an image, hit the letter "J" and two triangles inside of white squares will become evident in the histogram area, like this. Solid blue will indicate under-exposed parts and solid red will indicate over-exposed sections of your image. Under or over-exposed sections contain no detail to them.
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Keep in mind that when you are painting out your selections, go over the areas you want to select, then refine the edge in a manner of ways, according to what you are trying to do.
For the wingtip here selected to reduce the blown out highlights as indicated by the red bits, you can see it is over selected by quite a bit. I increased the exposure here, so you could clearly see the selection made.
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Refining this selection through the quick and easy use of the Luminosity Masking built into Lightroom Classic and then making a -2 adjustment to the whites results in no more blown out highlights there!
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The reddish pink section shown on this following image is the mask made, with the extreme highlights only selected.
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To mask off the sky, I painted the entire sky section with some severe overlaps of the bird, then used the colour selection dropper to select the blue of the sky. Applying some dehaze, sharpness and noise adjustments got rid of the noise in the sky easily.
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