Filter Repositories by type (#29231)

Filter Repositories by type (resolves #1170, #1318)

before:

![image](https://github.com/go-gitea/gitea/assets/72873130/74e6be62-9010-4ab4-8f9b-bd8afbebb8fb)


after:

![image](https://github.com/go-gitea/gitea/assets/72873130/e4d85ed6-7864-4150-8d72-5194dac1293f)

routers/web/org/home.go

@@ -85,6 +85,21 @@ func Home(ctx *context.Context) {
 		page = 1
 	}
 
+	archived := ctx.FormOptionalBool("archived")
+	ctx.Data["IsArchived"] = archived
+
+	fork := ctx.FormOptionalBool("fork")
+	ctx.Data["IsFork"] = fork
+
+	mirror := ctx.FormOptionalBool("mirror")
+	ctx.Data["IsMirror"] = mirror
+
+	template := ctx.FormOptionalBool("template")
+	ctx.Data["IsTemplate"] = template
+
+	private := ctx.FormOptionalBool("private")
+	ctx.Data["IsPrivate"] = private
+
 	var (
 		repos []*repo_model.Repository
 		count int64
@@ -102,6 +117,11 @@ func Home(ctx *context.Context) {
 		Actor:              ctx.Doer,
 		Language:           language,
 		IncludeDescription: setting.UI.SearchRepoDescription,
+		Archived:           archived,
+		Fork:               fork,
+		Mirror:             mirror,
+		Template:           template,
+		IsPrivate:          private,
 	})
 	if err != nil {
 		ctx.ServerError("SearchRepository", err)