feat(github-copilot): add embedding provider for memory search (#61718)

Merged via squash.

Prepared head SHA: 05a78ce7f2
Co-authored-by: feiskyer <676637+feiskyer@users.noreply.github.com>
Co-authored-by: vincentkoc <25068+vincentkoc@users.noreply.github.com>
Reviewed-by: @vincentkoc

docs/providers/github-copilot.md

@@ -119,6 +119,46 @@ Requires an interactive TTY. Run the login command directly in a terminal, not
 inside a headless script or CI job.
 </Warning>
 
+## Memory search embeddings
+
+GitHub Copilot can also serve as an embedding provider for
+[memory search](/concepts/memory-search). If you have a Copilot subscription and
+have logged in, OpenClaw can use it for embeddings without a separate API key.
+
+### Auto-detection
+
+When `memorySearch.provider` is `"auto"` (the default), GitHub Copilot is tried
+at priority 15 -- after local embeddings but before OpenAI and other paid
+providers. If a GitHub token is available, OpenClaw discovers available
+embedding models from the Copilot API and picks the best one automatically.
+
+### Explicit config
+
+```json5
+{
+  agents: {
+    defaults: {
+      memorySearch: {
+        provider: "github-copilot",
+        // Optional: override the auto-discovered model
+        model: "text-embedding-3-small",
+      },
+    },
+  },
+}
+```
+
+### How it works
+
+1. OpenClaw resolves your GitHub token (from env vars or auth profile).
+2. Exchanges it for a short-lived Copilot API token.
+3. Queries the Copilot `/models` endpoint to discover available embedding models.
+4. Picks the best model (prefers `text-embedding-3-small`).
+5. Sends embedding requests to the Copilot `/embeddings` endpoint.
+
+Model availability depends on your GitHub plan. If no embedding models are
+available, OpenClaw skips Copilot and tries the next provider.
+
 ## Related
 
 <CardGroup cols={2}>