feat(email): add Correspondence.Provider discriminator

b4 of the multi-provider email roadmap. The manual/free-text correspondence
entry path already existed (CorrespondenceController.Create) -- this slice
was narrower than the roadmap wording suggests: tag every Correspondence row
with which provider it came from (gmail | manual today; microsoft | imap
once those providers grow an import-into-Correspondence path of their own),
not build a new endpoint.

- Correspondence.Provider (nullable string), reconciled via the existing
  EnsureColumn pattern (SQLite + MySQL).
- Idempotent backfill: rows with an ExternalThreadId (historically only
  ever written by Gmail import) get 'gmail'; everything else gets 'manual'.
- GmailController.ImportSingleMessageAsync now tags Provider = "gmail".
- CorrespondenceController.Create now tags Provider = "manual".
- Both write sites use a fixed literal, not request input -- no injection
  surface introduced. Backfill SQL is static, no interpolation.

148/148 green (147 existing + 1 new CorrespondenceControllerTests; the
GmailController import test gained a Provider assertion in place).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

JobTrackerApi/Services/StartupInitializationExtensions.cs

@@ -555,6 +555,12 @@ public static class StartupInitializationExtensions
                 EnsureColumn(conn, "Correspondences", "Direction", "ALTER TABLE Correspondences ADD COLUMN Direction TEXT NULL;");
                 EnsureColumn(conn, "Correspondences", "ExternalLabelsJson", "ALTER TABLE Correspondences ADD COLUMN ExternalLabelsJson TEXT NULL;");
                 EnsureColumn(conn, "Correspondences", "AttachmentMetadataJson", "ALTER TABLE Correspondences ADD COLUMN AttachmentMetadataJson TEXT NULL;");
+                EnsureColumn(conn, "Correspondences", "Provider", "ALTER TABLE Correspondences ADD COLUMN Provider TEXT NULL;");
+                // Backfill: historically the only import source was Gmail (rows with an
+                // ExternalThreadId); everything else was hand-entered. Idempotent — only touches
+                // rows the app hasn't tagged yet.
+                Exec(conn, "UPDATE Correspondences SET Provider = 'gmail' WHERE Provider IS NULL AND ExternalThreadId IS NOT NULL;");
+                Exec(conn, "UPDATE Correspondences SET Provider = 'manual' WHERE Provider IS NULL;");
                 EnsureColumn(conn, "Attachments", "Purpose", "ALTER TABLE Attachments ADD COLUMN Purpose TEXT NULL;");
                 EnsureColumn(conn, "Attachments", "UseForAi", "ALTER TABLE Attachments ADD COLUMN UseForAi INTEGER NOT NULL DEFAULT 1;");
 
@@ -709,6 +715,17 @@ public static class StartupInitializationExtensions
                     EnsureMySqlColumn(conn, "Correspondences", "Direction", "ALTER TABLE `Correspondences` ADD COLUMN `Direction` varchar(100) NULL;");
                     EnsureMySqlColumn(conn, "Correspondences", "ExternalLabelsJson", "ALTER TABLE `Correspondences` ADD COLUMN `ExternalLabelsJson` longtext NULL;");
                     EnsureMySqlColumn(conn, "Correspondences", "AttachmentMetadataJson", "ALTER TABLE `Correspondences` ADD COLUMN `AttachmentMetadataJson` longtext NULL;");
+                    EnsureMySqlColumn(conn, "Correspondences", "Provider", "ALTER TABLE `Correspondences` ADD COLUMN `Provider` varchar(50) NULL;");
+                    using (var backfillGmail = conn.CreateCommand())
+                    {
+                        backfillGmail.CommandText = "UPDATE `Correspondences` SET `Provider` = 'gmail' WHERE `Provider` IS NULL AND `ExternalThreadId` IS NOT NULL;";
+                        backfillGmail.ExecuteNonQuery();
+                    }
+                    using (var backfillManual = conn.CreateCommand())
+                    {
+                        backfillManual.CommandText = "UPDATE `Correspondences` SET `Provider` = 'manual' WHERE `Provider` IS NULL;";
+                        backfillManual.ExecuteNonQuery();
+                    }
                     EnsureMySqlColumn(conn, "Attachments", "Purpose", "ALTER TABLE `Attachments` ADD COLUMN `Purpose` varchar(100) NULL;");
                     EnsureMySqlColumn(conn, "Attachments", "UseForAi", "ALTER TABLE `Attachments` ADD COLUMN `UseForAi` tinyint(1) NOT NULL DEFAULT 1;");
                     EnsureMySqlColumn(conn, "AspNetUsers", "ProfileCvText", "ALTER TABLE `AspNetUsers` ADD COLUMN `ProfileCvText` longtext NULL;");