feat: rename Docker Watcher to Tinyforge

Rebrand the project as Tinyforge to reflect its evolution from a Docker
container watcher into a self-hosted mini CI/deployment platform.

Rename covers: Go module path, Docker labels, DB/config filenames,
JWT issuer, Dockerfile binary, docker-compose, CI workflows, frontend
i18n, README with static sites docs, and all code comments.

.claude/settings.json

@@ -12,7 +12,9 @@
       "Bash(git stash:*)",
       "Bash(echo \"EXIT: $?\")",
       "Bash(./scripts/dev-server.sh)",
-      "Bash(go doc:*)"
+      "Bash(go doc:*)",
+      "Bash(ls -la /c/Users/Alexei/Documents/docker-watcher/internal/*/)",
+      "Bash(go get:*)"
     ],
     "additionalDirectories": [
       "C:\\Users\\Alexei\\Documents\\docker-watcher\\internal",