E621 maintains its own httpx.AsyncClient because their TOS requires
a per-user User-Agent string that BooruClient's shared client can't
carry. The client is rebuilt on User-Agent change, so the hook must
be installed in the same construction path.
Also installs BooruClient._log_request as a second hook (this
additionally closes finding #16 for the e621 client — e621 requests
previously bypassed the connection log entirely, and this wires
them in consistently with the base client).
Audit-Ref: SECURITY_AUDIT.md finding #1
Also-Closes: SECURITY_AUDIT.md finding #16 (e621 half)
Severity: High