[block-sync] Don't hold client-cache lock while connecting
`lightning-block-sync`'s REST and RPC clients both hold a cache for
a connected client to avoid the extra connection round-trip on each
request. Because only one client can be using a connection at once,
the connection is `take()`n out of an `Option` behind a `Mutex` and
if there isn't one present, we call `HttpClient::connect` to build
a new one.
However, this full logic is completed in one statement, causing a
client-cache lock to be held during `HttpClient::connect`. This
can turn into quite a bit of contention when using these clients as
gossip verifiers as we can create many requests back-to-back during
startup.
I noticed this as my node during startup only seemed to be
saturating one core and managed to get a backtrace that showed
several threads being blocked on this mutex when hitting a Bitcoin
Core node over REST that is on the same LAN, but not the same
machine.