feat(dolt): auto-commit write commands and set explicit commit authors (#1270)

Adds Dolt auto-commit functionality for write commands and sets explicit commit authors.

Includes fix for race condition in commandDidWrite (converted to atomic.Bool).

Original PR: #1267 by @coffeegoddd
Co-authored-by: Dustin Brown <dustin@dolthub.com>

docs/GIT_INTEGRATION.md

@@ -456,11 +456,14 @@ See [MULTI_REPO_MIGRATION.md](MULTI_REPO_MIGRATION.md) for complete guide.
 
 ### Automatic Sync (Default)
 
-**With daemon running:**
+**With daemon running (SQLite backend):**
 - Export to JSONL: 30-second debounce after changes
 - Import from JSONL: when file is newer than DB
 - Commit/push: configurable via `--auto-commit` / `--auto-push`
 
+**Note:** `--auto-commit` here refers to **git commits** (typically to the sync branch).  
+For the Dolt backend, use `dolt.auto-commit` / `--dolt-auto-commit` to control **Dolt history commits**.
+
 **30-second debounce provides transaction window:**
 - Multiple changes within 30s get batched
 - Single JSONL export/commit for the batch