exa: fix verify.py rejecting every API key (v5 / 1.0.4)

Activating Exa always failed with "Exa API key is invalid or
unauthorized (HTTP 403)" — the key was never actually tested.

Two bugs stacked:

1. mcp.exa.ai is behind Cloudflare, which bans urllib's default
   Python-urllib/3.x agent with 403 / "error code: 1010" before Exa
   sees the request. verify.py sent no User-Agent and mapped any 403
   to "API key is invalid". Reproduced on the server with no key set
   at all — same "invalid key" message.

2. The probed endpoint cannot validate a key anyway: JSON-RPC
   initialize against the MCP endpoint returns 200 no matter what
   ?exaApiKey= carries (checked with a real key, a bogus key, and no
   key). Fixing only the headers would have flipped the bug to
   accepting every key, including garbage.

With a key, the probe is now a minimal POST to api.exa.ai/search with
the key in the x-api-key header — the only call that exercises the
credential (200 valid, 401/403 + Exa JSON error invalid, 402 out of
credits, 429 valid but throttled). With no key it probes MCP
initialize and reports reachability only, never validity. Both
requests send a User-Agent; the MCP one also sends
Accept: application/json, text/event-stream (else HTTP 406).

An opaque 401/403 with no Exa JSON error is now reported as "blocked
before reaching the API — the key was not tested", instead of blaming
the credential.

Also re-aligns manifest/fragment versions to 5 / 1.0.4 (were 2/1.0.1
vs 4/1.0.3; skald reads installed_version from the manifest, so the
update badge would never have appeared) and raises verify.timeout_secs
15 -> 20.

connectors/exa/connector.json

@@ -1,9 +1,9 @@
 {
   "id": "exa",
   "name": "Exa",
-  "version": 2,
-  "version_string": "1.0.1",
-  "version_release_date": "2026-07-21",
+  "version": 5,
+  "version_string": "1.0.4",
+  "version_release_date": "2026-08-20",
   "type": "mcp_remote",
   "scope": "global",
   "tags": [
@@ -38,7 +38,7 @@
   },
   "verify": {
     "command": "python3 verify.py",
-    "timeout_secs": 15
+    "timeout_secs": 20
   },
   "homepage": "https://exa.ai",
   "icon_small": "icon_sm.png",