Don't interleave handshake and other record types in TLSv1.3

In TLSv1.3 it is illegal to interleave handshake records with non handshake
records.

Fixes #8189

Reviewed-by: Ben Kaduk <kaduk@mit.edu>
(Merged from https://github.com/openssl/openssl/pull/8191)

(cherry picked from commit 3d35e3a2)