docs: update Go code style guidelines and linting requirements

- Enhanced AGENTS.md to include post-editing commands for Go code, specifying the use of `gofmt -w`, `go vet ./...`, and `scripts/lint-go.ps1`.
- Updated engineering rules in .cursor/rules/engineering.mdc to clarify the linting process and ensure consistency in Go code formatting.
- Improved documentation for CI checks related to Go code style and linting.

.cursor/rules/engineering.mdc

@@ -57,9 +57,9 @@ alwaysApply: true
 
 ## Code Style
 
-**STYLE-01** | MUST | Go-код после `gofmt`; перед PR — `go vet ./...`.
-*Rationale:* единый стиль.
-*Проверка:* CI job `go`.
+**STYLE-01** | MUST | Go-код после `gofmt`; перед PR — `go vet ./...`. Агент после правок Go: `gofmt -w` на изменённых файлах + `golangci-lint run` (или `scripts/lint-go.*`) до exit 0.
+*Rationale:* CI job `go` включает golangci-lint (gofmt).
+*Проверка:* CI job `go`; `.cursor/rules/engineering.mdc` STYLE-01.
 
 **STYLE-02** | MUST | Экспортируемые типы/функции публичных пакетов — godoc-комментарий.
 *Rationale:* навигация по API пакетов.
@@ -230,7 +230,8 @@ alwaysApply: true
 go vet ./...
 go test ./... -race -count=1
 npx @redocly/cli lint docs/openapi.yaml
-# web: cd web; npm run check; npm run lint
+# web: cd web; npm run check; npm run lint  (или scripts/lint-web.ps1)
+# go fmt/lint: gofmt -w <files>; scripts/lint-go.ps1 (gofmt + vet + golangci-lint)
 # birdfmt: go test ./internal/birdfmt/... -count=1
 ```