Once Examined, It's Satisfying

Question

Can you solve the following puzzle?

Wings The Cimarron Cavalcade Gone An Tom

Hyd Hyd Lit Car Sil Cob Neo

From Unthrifty Is But Let Let Against When Or Where 'Tis

In sum, the answer is an eight-letter word.

Answer 1

The answer is:

Thirteen

Because:

Wings The Cimarron Cavalcade Gone An Tom

These are the first words of Best Picture Oscar winners:
Wings - 1928 (1st)
The Broadway Melody - 1929 (2nd)
Cimarron - 1931 (4th)
Cavalcade - 1933 (6th)
Gone with the Wind - 1939 (12th)
An American in Paris - 1951 (24th)
Tom Jones - 1963 (36th)

And that sequence of ordinal positions is OEIS A002182 - Highly composite numbers
The next value in that sequence is 48, and the 48th Best Picture Oscar went to One Flew Over The Cuckoo's Nest in 1975

Hyd Hyd Lit Car Sil Cob Neo

These are abbreviated element names. There are a couple of choices for Sil and Neo, but the correct list is:
Hydrogen 1
Hydrogen 1
Lithium 3
Carbon 6
Silicon 14
Cobalt 27
Neodymium 60
And this sequence is apparently OEIS A006951 - Number of conjugacy classes in GL(n,2) (No I have no idea what that means either.)
Nevertheless, the next number in that sequence is 117, and element 117 is Tennessine.

From Unthrifty Is But Let Let Against When Or Where 'Tis

These are the first words of Shakespeare sonnets.
Specifically the 1st, 4th, 9th, ... (square numbers), 121st
For completeness these are OEIS A000290 - The squares, but I don't need that to work out the next value.
The next square is 144, and the 144th Sonnet starts with "Two"

Putting it all together:

Continuing the pattern of first words (or first three letters) we get:
One
Ten
Two
And adding those up gives us thirteen which is eight letters as required.