[3.13] gh-126664: revert: Use `else` instead of `finally` in docs explaining "with...

[3.13] gh-126664: revert: Use `else` instead of `finally` in docs explaining "with" (GH-128169) (#128170)

gh-126664: revert: Use `else` instead of `finally` in docs explaining "with" (GH-128169)

Revert "gh-126664: Use `else` instead of `finally` in "The with statement" documentation. (GH-126665)"

This reverts commit 25257d61cfccc3b4189f96390a5c4db73fd5302c.
(cherry picked from commit 228f275737615cc9be713a8c3f9325b359bf8aec)

Co-authored-by: Gregory P. Smith <greg@krypto.org>