Refactor web package and context package (#25298)

1. The "web" package shouldn't depends on "modules/context" package,
instead, let each "web context" register themselves to the "web"
package.
2. The old Init/Free doesn't make sense, so simplify it
* The ctx in "Init(ctx)" is never used, and shouldn't be used that way
* The "Free" is never called and shouldn't be called because the SSPI
instance is shared

---------

Co-authored-by: Giteabot <teabot@gitea.io>

modules/context/context.go

@@ -21,7 +21,9 @@ import (
 	"code.gitea.io/gitea/modules/setting"
 	"code.gitea.io/gitea/modules/templates"
 	"code.gitea.io/gitea/modules/translation"
+	"code.gitea.io/gitea/modules/web"
 	"code.gitea.io/gitea/modules/web/middleware"
+	web_types "code.gitea.io/gitea/modules/web/types"
 
 	"gitea.com/go-chi/cache"
 	"gitea.com/go-chi/session"
@@ -58,6 +60,12 @@ type Context struct {
 	Package *Package
 }
 
+func init() {
+	web.RegisterResponseStatusProvider[*Context](func(req *http.Request) web_types.ResponseStatusProvider {
+		return req.Context().Value(WebContextKey).(*Context)
+	})
+}
+
 // TrHTMLEscapeArgs runs ".Locale.Tr()" but pre-escapes all arguments with html.EscapeString.
 // This is useful if the locale message is intended to only produce HTML content.
 func (ctx *Context) TrHTMLEscapeArgs(msg string, args ...string) string {